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Artigo de periodico
Lines of curvature on quadric hypersurfaces of ℝ4 (2016)
Sotomayor, Jorge ; Garcia, Ronaldo
Source: Lobachevskii Journal of Mathematics. Unidade: IME
Assunto: GEOMETRIA DIFERENCIAL
A citação é gerada automaticamente e pode não estar totalmente de acordo com as normas
ABNT
SOTOMAYOR, Jorge e GARCIA, Ronaldo. Lines of curvature on quadric hypersurfaces of ℝ4. Lobachevskii Journal of Mathematics, v. 37, n. 3, p. 288-306, 2016Tradução . . Disponível em: https://doi.org/10.1134/S1995080216030203. Acesso em: 08 jul. 2024.
APA
Sotomayor, J., & Garcia, R. (2016). Lines of curvature on quadric hypersurfaces of ℝ4. Lobachevskii Journal of Mathematics, 37( 3), 288-306. doi:10.1134/S1995080216030203
NLM
Sotomayor J, Garcia R. Lines of curvature on quadric hypersurfaces of ℝ4 [Internet]. Lobachevskii Journal of Mathematics. 2016 ; 37( 3): 288-306.[citado 2024 jul. 08 ] Available from: https://doi.org/10.1134/S1995080216030203
Vancouver
Sotomayor J, Garcia R. Lines of curvature on quadric hypersurfaces of ℝ4 [Internet]. Lobachevskii Journal of Mathematics. 2016 ; 37( 3): 288-306.[citado 2024 jul. 08 ] Available from: https://doi.org/10.1134/S1995080216030203
Artigo de periodico
Historical comments on Monge’s ellipsoid and the configurations of lines of curvature on surfaces (2016)
Sotomayor, Jorge ; Garcia, Ronaldo Alves
Source: Antiquitates Mathematicae. Unidade: IME
Subjects: GEOMETRIA DIFERENCIAL, GEOMETRIA EUCLIDIANA, ESTABILIDADE ESTRUTURAL
A citação é gerada automaticamente e pode não estar totalmente de acordo com as normas
ABNT
SOTOMAYOR, Jorge e GARCIA, Ronaldo Alves. Historical comments on Monge’s ellipsoid and the configurations of lines of curvature on surfaces. Antiquitates Mathematicae, v. 10, n. 1, p. 169–182, 2016Tradução . . Disponível em: https://doi.org/10.14708/am.v10i0.1918. Acesso em: 08 jul. 2024.
APA
Sotomayor, J., & Garcia, R. A. (2016). Historical comments on Monge’s ellipsoid and the configurations of lines of curvature on surfaces. Antiquitates Mathematicae, 10( 1), 169–182. doi:10.14708/am.v10i0.1918
NLM
Sotomayor J, Garcia RA. Historical comments on Monge’s ellipsoid and the configurations of lines of curvature on surfaces [Internet]. Antiquitates Mathematicae. 2016 ; 10( 1): 169–182.[citado 2024 jul. 08 ] Available from: https://doi.org/10.14708/am.v10i0.1918
Vancouver
Sotomayor J, Garcia RA. Historical comments on Monge’s ellipsoid and the configurations of lines of curvature on surfaces [Internet]. Antiquitates Mathematicae. 2016 ; 10( 1): 169–182.[citado 2024 jul. 08 ] Available from: https://doi.org/10.14708/am.v10i0.1918
Artigo de periodico
Partially umbilic singularities of hypersurfaces of R4 (2015)
Silva, Débora Lopes da; Sotomayor, Jorge ; Garcia, Ronaldo
Source: Bulletin des Sciences Mathématiques. Unidade: IME
Subjects: GEOMETRIA GLOBAL, GEOMETRIA DIFERENCIAL, TOPOLOGIA DIFERENCIAL
A citação é gerada automaticamente e pode não estar totalmente de acordo com as normas
ABNT
SILVA, Débora Lopes da e SOTOMAYOR, Jorge e GARCIA, Ronaldo. Partially umbilic singularities of hypersurfaces of R4. Bulletin des Sciences Mathématiques, v. 139, n. Ju 2015, p. 431-472, 2015Tradução . . Disponível em: https://doi.org/10.1016/j.bulsci.2014.10.005. Acesso em: 08 jul. 2024.
APA
Silva, D. L. da, Sotomayor, J., & Garcia, R. (2015). Partially umbilic singularities of hypersurfaces of R4. Bulletin des Sciences Mathématiques, 139( Ju 2015), 431-472. doi:10.1016/j.bulsci.2014.10.005
NLM
Silva DL da, Sotomayor J, Garcia R. Partially umbilic singularities of hypersurfaces of R4 [Internet]. Bulletin des Sciences Mathématiques. 2015 ; 139( Ju 2015): 431-472.[citado 2024 jul. 08 ] Available from: https://doi.org/10.1016/j.bulsci.2014.10.005
Vancouver
Silva DL da, Sotomayor J, Garcia R. Partially umbilic singularities of hypersurfaces of R4 [Internet]. Bulletin des Sciences Mathématiques. 2015 ; 139( Ju 2015): 431-472.[citado 2024 jul. 08 ] Available from: https://doi.org/10.1016/j.bulsci.2014.10.005
Artigo de periodico
Umbilic singularities and lines of curvature on ellipsoids of ℝ4 (2014)
Silva, Débora Lopes da; Sotomayor, Jorge ; Garcia, Ronaldo
Source: Bulletin of the Brazilian Mathematical Society. Unidade: IME
Subjects: FOLHEAÇÕES, GEOMETRIA GLOBAL, GEOMETRIA DIFERENCIAL, TOPOLOGIA DIFERENCIAL
A citação é gerada automaticamente e pode não estar totalmente de acordo com as normas
ABNT
SILVA, Débora Lopes da e SOTOMAYOR, Jorge e GARCIA, Ronaldo. Umbilic singularities and lines of curvature on ellipsoids of ℝ4. Bulletin of the Brazilian Mathematical Society, v. 45, n. 3, p. 453-483, 2014Tradução . . Disponível em: https://doi.org/10.1007/s00574-014-0058-6. Acesso em: 08 jul. 2024.
APA
Silva, D. L. da, Sotomayor, J., & Garcia, R. (2014). Umbilic singularities and lines of curvature on ellipsoids of ℝ4. Bulletin of the Brazilian Mathematical Society, 45( 3), 453-483. doi:10.1007/s00574-014-0058-6
NLM
Silva DL da, Sotomayor J, Garcia R. Umbilic singularities and lines of curvature on ellipsoids of ℝ4 [Internet]. Bulletin of the Brazilian Mathematical Society. 2014 ; 45( 3): 453-483.[citado 2024 jul. 08 ] Available from: https://doi.org/10.1007/s00574-014-0058-6
Vancouver
Silva DL da, Sotomayor J, Garcia R. Umbilic singularities and lines of curvature on ellipsoids of ℝ4 [Internet]. Bulletin of the Brazilian Mathematical Society. 2014 ; 45( 3): 453-483.[citado 2024 jul. 08 ] Available from: https://doi.org/10.1007/s00574-014-0058-6
Trabalho de evento-anais periodico
Axiumbilic singular points on surfaces immersed in R^4 and their generic bifurcations (2014)
Garcia, Ronaldo; Sotomayor, Jorge ; Spindola, Flausino Lucas Neves
Source: Journal of Singularities. Conference titles: International Workshop on Real and Complex Singularities. Unidade: IME
Subjects: ANÁLISE GLOBAL, TEORIA DAS SINGULARIDADES, GEOMETRIA GLOBAL, GEOMETRIA DIFERENCIAL
A citação é gerada automaticamente e pode não estar totalmente de acordo com as normas
ABNT
GARCIA, Ronaldo e SOTOMAYOR, Jorge e SPINDOLA, Flausino Lucas Neves. Axiumbilic singular points on surfaces immersed in R^4 and their generic bifurcations. Journal of Singularities. Cambridge, MA: Instituto de Matemática e Estatística, Universidade de São Paulo. Disponível em: https://doi.org/10.5427/jsing.2014.10h. Acesso em: 08 jul. 2024. , 2014
APA
Garcia, R., Sotomayor, J., & Spindola, F. L. N. (2014). Axiumbilic singular points on surfaces immersed in R^4 and their generic bifurcations. Journal of Singularities. Cambridge, MA: Instituto de Matemática e Estatística, Universidade de São Paulo. doi:10.5427/jsing.2014.10h
NLM
Garcia R, Sotomayor J, Spindola FLN. Axiumbilic singular points on surfaces immersed in R^4 and their generic bifurcations [Internet]. Journal of Singularities. 2014 ; 10 124-146.[citado 2024 jul. 08 ] Available from: https://doi.org/10.5427/jsing.2014.10h
Vancouver
Garcia R, Sotomayor J, Spindola FLN. Axiumbilic singular points on surfaces immersed in R^4 and their generic bifurcations [Internet]. Journal of Singularities. 2014 ; 10 124-146.[citado 2024 jul. 08 ] Available from: https://doi.org/10.5427/jsing.2014.10h
Monografia/livro
Differential equations of classical geometry, a qualitative theory (2009)
Garcia, Ronaldo; Sotomayor, Jorge
Conference titles: Coloquio Brasileiro de Matematica. Unidade: IME
Assunto: GEOMETRIA DIFERENCIAL CLÁSSICA
A citação é gerada automaticamente e pode não estar totalmente de acordo com as normas
ABNT
GARCIA, Ronaldo e SOTOMAYOR, Jorge. Differential equations of classical geometry, a qualitative theory. . Rio de Janeiro: IMPA. . Acesso em: 08 jul. 2024. , 2009
APA
Garcia, R., & Sotomayor, J. (2009). Differential equations of classical geometry, a qualitative theory. Rio de Janeiro: IMPA.
NLM
Garcia R, Sotomayor J. Differential equations of classical geometry, a qualitative theory. 2009 ;[citado 2024 jul. 08 ]
Vancouver
Garcia R, Sotomayor J. Differential equations of classical geometry, a qualitative theory. 2009 ;[citado 2024 jul. 08 ]
Artigo de periodico
Bifurcations of umbilic points and related principal cycles (2004)
Gutierrez, Carlos; Sotomayor, Jorge ; Garcia, Ronaldo
Source: Journal of Dynamics and Differential Equations. Unidade: IME
Assunto: TEORIA DA BIFURCAÇÃO
A citação é gerada automaticamente e pode não estar totalmente de acordo com as normas
ABNT
GUTIERREZ, Carlos e SOTOMAYOR, Jorge e GARCIA, Ronaldo. Bifurcations of umbilic points and related principal cycles. Journal of Dynamics and Differential Equations, v. 16, n. 2, p. 321-346, 2004Tradução . . Disponível em: https://doi.org/10.1007/s10884-004-2783-9. Acesso em: 08 jul. 2024.
APA
Gutierrez, C., Sotomayor, J., & Garcia, R. (2004). Bifurcations of umbilic points and related principal cycles. Journal of Dynamics and Differential Equations, 16( 2), 321-346. doi:10.1007/s10884-004-2783-9
NLM
Gutierrez C, Sotomayor J, Garcia R. Bifurcations of umbilic points and related principal cycles [Internet]. Journal of Dynamics and Differential Equations. 2004 ; 16( 2): 321-346.[citado 2024 jul. 08 ] Available from: https://doi.org/10.1007/s10884-004-2783-9
Vancouver
Gutierrez C, Sotomayor J, Garcia R. Bifurcations of umbilic points and related principal cycles [Internet]. Journal of Dynamics and Differential Equations. 2004 ; 16( 2): 321-346.[citado 2024 jul. 08 ] Available from: https://doi.org/10.1007/s10884-004-2783-9
Artigo de periodico
Lines of mean curvature on surfaces immersed in R3 (2004)
Garcia, Ronaldo Alves; Sotomayor, Jorge
Source: Qualitative Theory of Dynamical Systems. Unidade: IME
Assunto: CURVATURA MÉDIA CONSTANTE
A citação é gerada automaticamente e pode não estar totalmente de acordo com as normas
ABNT
GARCIA, Ronaldo Alves e SOTOMAYOR, Jorge. Lines of mean curvature on surfaces immersed in R3. Qualitative Theory of Dynamical Systems, v. 4, p. 263-309, 2004Tradução . . Disponível em: https://doi.org/10.1007/bf02970862. Acesso em: 08 jul. 2024.
APA
Garcia, R. A., & Sotomayor, J. (2004). Lines of mean curvature on surfaces immersed in R3. Qualitative Theory of Dynamical Systems, 4, 263-309. doi:10.1007/bf02970862
NLM
Garcia RA, Sotomayor J. Lines of mean curvature on surfaces immersed in R3 [Internet]. Qualitative Theory of Dynamical Systems. 2004 ; 4 263-309.[citado 2024 jul. 08 ] Available from: https://doi.org/10.1007/bf02970862
Vancouver
Garcia RA, Sotomayor J. Lines of mean curvature on surfaces immersed in R3 [Internet]. Qualitative Theory of Dynamical Systems. 2004 ; 4 263-309.[citado 2024 jul. 08 ] Available from: https://doi.org/10.1007/bf02970862
Artigo de periodico
Structural stability of piecewise-linear vector fields (2003)
Sotomayor, Jorge ; Garcia, Ronaldo Alves
Source: Journal of Differential Equations. Unidade: IME
Assunto: EQUAÇÕES DIFERENCIAIS ORDINÁRIAS
A citação é gerada automaticamente e pode não estar totalmente de acordo com as normas
ABNT
SOTOMAYOR, Jorge e GARCIA, Ronaldo Alves. Structural stability of piecewise-linear vector fields. Journal of Differential Equations, v. 192, n. 2, p. 553-565, 2003Tradução . . Disponível em: https://doi.org/10.1016/s0022-0396(03)00059-7. Acesso em: 08 jul. 2024.
APA
Sotomayor, J., & Garcia, R. A. (2003). Structural stability of piecewise-linear vector fields. Journal of Differential Equations, 192( 2), 553-565. doi:10.1016/s0022-0396(03)00059-7
NLM
Sotomayor J, Garcia RA. Structural stability of piecewise-linear vector fields [Internet]. Journal of Differential Equations. 2003 ; 192( 2): 553-565.[citado 2024 jul. 08 ] Available from: https://doi.org/10.1016/s0022-0396(03)00059-7
Vancouver
Sotomayor J, Garcia RA. Structural stability of piecewise-linear vector fields [Internet]. Journal of Differential Equations. 2003 ; 192( 2): 553-565.[citado 2024 jul. 08 ] Available from: https://doi.org/10.1016/s0022-0396(03)00059-7
Artigo de periodico
Structurally stable configurations of lines of mean curvature and umbilic points on surfaces immersed (2001)
Garcia, Ronaldo Alves; Sotomayor, Jorge
Source: Publicacions Matematiques. Unidade: IME
Assunto: GEOMETRIA DIFERENCIAL
A citação é gerada automaticamente e pode não estar totalmente de acordo com as normas
ABNT
GARCIA, Ronaldo Alves e SOTOMAYOR, Jorge. Structurally stable configurations of lines of mean curvature and umbilic points on surfaces immersed. Publicacions Matematiques, v. 45, n. 2, p. 431-466, 2001Tradução . . Disponível em: https://doi.org/10.5565/PUBLMAT_45201_08. Acesso em: 08 jul. 2024.
APA
Garcia, R. A., & Sotomayor, J. (2001). Structurally stable configurations of lines of mean curvature and umbilic points on surfaces immersed. Publicacions Matematiques, 45( 2), 431-466. doi:10.5565/PUBLMAT_45201_08
NLM
Garcia RA, Sotomayor J. Structurally stable configurations of lines of mean curvature and umbilic points on surfaces immersed [Internet]. Publicacions Matematiques. 2001 ; 45( 2): 431-466.[citado 2024 jul. 08 ] Available from: https://doi.org/10.5565/PUBLMAT_45201_08
Vancouver
Garcia RA, Sotomayor J. Structurally stable configurations of lines of mean curvature and umbilic points on surfaces immersed [Internet]. Publicacions Matematiques. 2001 ; 45( 2): 431-466.[citado 2024 jul. 08 ] Available from: https://doi.org/10.5565/PUBLMAT_45201_08
Artigo de periodico
Lines of principal curvature around umbilics and Whitney umbrellas (2000)
Garcia, Ronaldo Alves; Sotomayor, Jorge
Source: Differential Geometry and its Applications. Unidade: IME
Subjects: SISTEMAS DINÂMICOS, GEOMETRIA DIFERENCIAL
A citação é gerada automaticamente e pode não estar totalmente de acordo com as normas
ABNT
GARCIA, Ronaldo Alves e SOTOMAYOR, Jorge. Lines of principal curvature around umbilics and Whitney umbrellas. Differential Geometry and its Applications, v. 12, n. 3, p. 253-269, 2000Tradução . . Disponível em: https://doi.org/10.2748/tmj/1178224605. Acesso em: 08 jul. 2024.
APA
Garcia, R. A., & Sotomayor, J. (2000). Lines of principal curvature around umbilics and Whitney umbrellas. Differential Geometry and its Applications, 12( 3), 253-269. doi:10.2748/tmj/1178224605
NLM
Garcia RA, Sotomayor J. Lines of principal curvature around umbilics and Whitney umbrellas [Internet]. Differential Geometry and its Applications. 2000 ; 12( 3): 253-269.[citado 2024 jul. 08 ] Available from: https://doi.org/10.2748/tmj/1178224605
Vancouver
Garcia RA, Sotomayor J. Lines of principal curvature around umbilics and Whitney umbrellas [Internet]. Differential Geometry and its Applications. 2000 ; 12( 3): 253-269.[citado 2024 jul. 08 ] Available from: https://doi.org/10.2748/tmj/1178224605
Artigo de periodico
Lines of principal curvature around umbilics and Whitney umbrellas (2000)
Garcia, Ronaldo Alves; Gutierrez, Carlos; Sotomayor, Jorge
Source: Tohoku Mathematical Journal. Unidade: IME
Subjects: SISTEMAS DINÂMICOS, GEOMETRIA DIFERENCIAL CLÁSSICA
A citação é gerada automaticamente e pode não estar totalmente de acordo com as normas
ABNT
GARCIA, Ronaldo Alves e GUTIERREZ, Carlos e SOTOMAYOR, Jorge. Lines of principal curvature around umbilics and Whitney umbrellas. Tohoku Mathematical Journal, v. 52, n. 2, p. 163-172, 2000Tradução . . Disponível em: https://doi.org/10.2748/tmj/1178224605. Acesso em: 08 jul. 2024.
APA
Garcia, R. A., Gutierrez, C., & Sotomayor, J. (2000). Lines of principal curvature around umbilics and Whitney umbrellas. Tohoku Mathematical Journal, 52( 2), 163-172. doi:10.2748/tmj/1178224605
NLM
Garcia RA, Gutierrez C, Sotomayor J. Lines of principal curvature around umbilics and Whitney umbrellas [Internet]. Tohoku Mathematical Journal. 2000 ; 52( 2): 163-172.[citado 2024 jul. 08 ] Available from: https://doi.org/10.2748/tmj/1178224605
Vancouver
Garcia RA, Gutierrez C, Sotomayor J. Lines of principal curvature around umbilics and Whitney umbrellas [Internet]. Tohoku Mathematical Journal. 2000 ; 52( 2): 163-172.[citado 2024 jul. 08 ] Available from: https://doi.org/10.2748/tmj/1178224605
Trabalho de evento-anais periodico
Curvatures of conflict surfaces in Euclidean 3-space (1999)
Sotomayor, Jorge ; Siersma, Dirk; Garcia, Ronaldo
Source: Banach Center Publications. Conference titles: CAUSTICS'98: Geometry and Topology of Caustics. Unidade: IME
Assunto: GEOMETRIA DIFERENCIAL CLÁSSICA
A citação é gerada automaticamente e pode não estar totalmente de acordo com as normas
ABNT
SOTOMAYOR, Jorge e SIERSMA, Dirk e GARCIA, Ronaldo. Curvatures of conflict surfaces in Euclidean 3-space. Banach Center Publications. Warsaw: Instituto de Matemática e Estatística, Universidade de São Paulo. . Acesso em: 08 jul. 2024. , 1999
APA
Sotomayor, J., Siersma, D., & Garcia, R. (1999). Curvatures of conflict surfaces in Euclidean 3-space. Banach Center Publications. Warsaw: Instituto de Matemática e Estatística, Universidade de São Paulo.
NLM
Sotomayor J, Siersma D, Garcia R. Curvatures of conflict surfaces in Euclidean 3-space. Banach Center Publications. 1999 ; 50 277-285.[citado 2024 jul. 08 ]
Vancouver
Sotomayor J, Siersma D, Garcia R. Curvatures of conflict surfaces in Euclidean 3-space. Banach Center Publications. 1999 ; 50 277-285.[citado 2024 jul. 08 ]

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