Artigos Científicos

Por Ronaldo Alves Mise à Jour 06/05/21 18:51

Artigos completos publicados em periódicos indexados

Reznik, Dan; Garcia, Ronaldo Circuminvariants of 3-periodics in the elliptic billiard. Int. J. Geom. 10 (2021), no. 1, 31–57

2014-2020

da Cruz, Douglas H.; Garcia, Ronaldo A. Finite type ξ-asymptotic lines of plane fields in ℝ3. J. Singul. 22 (2020), 17–27.
Reznik, Dan S.; Garcia, Ronaldo; Koiller, Jair The ballet of triangle centers on the elliptic billiard. J. Geom. Graph. 24 (2020), no. 1, 79–101
Reznik, Dan; Garcia, Ronaldo; Koiller, Jair Can the elliptic billiard still surprise us? Math. Intelligencer 42 (2020), no. 1, 6–17
Barajas, M.; Craizer, M.; Garcia, R. Lines of affine principal curvatures of surfaces in 3-space. Results Math. 75 (2020), no. 1, Paper No. 32, 29 pp
Craizer, Marcos; Garcia, Ronaldo A. Quadratic points of surfaces in projective 3-space. Q. J. Math. 70 (2019), no. 3, 1105–1134
Garcia, Ronaldo Elliptic billiards and ellipses associated to the 3-periodic orbits.Amer. Math. Monthly 126 (2019), no. 6, 491–504.
Vieira, Evilson; Garcia, Ronaldo Asymptotic behavior of the shape of planar polygons by linear flows. Linear Algebra Appl. 557 (2018), 508–528
Freitas, Bruno R.; Garcia, Ronaldo A. Inflection points on hyperbolic tori of 𝕊3. Q. J. Math. 69 (2018), no. 2, 709–728.
Garcia, R. Circuncentros das Órbitas Triangulares de um Bilhar Elíptico. Nexus Mathematicae vol1 (2018) 1-15
Garcia, Ronaldo; Langevin, Rémi; Walczak, Paweł Darboux curves on surfaces I.J. Math. Soc. Japan 69 (2017), no. 1, 1–24.
Sotomayor, Jorge; Garcia, Ronaldo Historical comments on Monge's ellipsoid and the configurations of lines of curvature on surfaces. Antiq. Math. 10 (2016), 169–182
Garcia, Ronaldo; Langevin, Rémi; Walczak, Paweł Darboux curves on surfaces II. Bull. Braz. Math. Soc. (N.S.) 47 (2016), no. 4, 1119–1154
Sotomayor, J.; Garcia, R. Lines of curvature on quadric hypersurfaces of ℝ4. Lobachevskii J. Math. 37 (2016), no. 3, 288–306
Lopes, D.; Sotomayor, J.; Garcia, R. Partially umbilic singularities of hypersurfaces of ℝ4. Bull. Sci. Math. 139 (2015), no. 4, 431–472
Garcia, Ronaldo; Langevin, Rémi; Walczak, Paweł Foliations making a constant angle with principal directions on ellipsoids. Ann. Polon. Math. 113 (2015), no. 2, 165–173
Garcia, R.; Sotomayor, J.; Spindola, F. Axiumbilic singular points on surfaces immersed in ℝ4 and their generic bifurcations. J. Singul. 10 (2014), 124–146
Lopes, Débora; Sotomayor, Jorge; Garcia, Ronaldo Umbilic singularities and lines of curvature on ellipsoids of ℝ4. Bull. Braz. Math. Soc. (N.S.) 45 (2014), no. 3, 453–483.

Garcia, Ronaldo; Marques, Diego; A family of minimal immersed tori in with dense principal lines. Bulletin des Sciences Mathématiques v.137, (2013), pp. 220- 227.

Garcia, Ronaldo, Dinâmica e Geometria, 2o. Colóquio de Matemática da Região Nordeste, (2012), ISBN 978-85-7463-560-6, UFPI, 134 páginas.

Garcia, Ronaldo; Ferreira, Jocirei D.; Sree Hari Rao, V. Bifurcation dynamics: theory, methods, and applications [Editorial]. Differ. Equ. Dyn. Syst. 20 (2012), no. 3, 189–190. Editor de um volume especial.
GARCIA, Ronaldo Alves; Aspectos da História da Sociedade Brasileira de Matemática. Revista Brasileira de História da Matemática vol .11 (2012), 99 -109.

Garcia, Ronaldo; Sotomayor, Jorge; Lines of axial curvature at critical points on surfaces mapped into R4. São Paulo J. Math. Sci. 6 (2012), no. 2, 277-300.

Garcia, Ronaldo; Mello, Luis Fernado, Sotomayor, Jorge; Surfaces around closed principal curvature lines, an inverse problem. Real and Complex Singularities. London Math. Society, 2010, vol .380, p. 158- 166.

GARCIA, Ronaldo Alves, SOTOMAYOR, J.,Tori embedded in R³ with dense principal lines. Bulletin des Sciences Mathématiques. , v.133, p.348 - 354, 2009.

GARCIA, Ronaldo Alves, SOTOMAYOR, Jorge Tori embedded in S³ with dense asymptotic lines. Anais da Academia Brasileira de Ciências. , v.81, p.13 - 19, 2009.

GARCIA, Ronaldo Alves, LANGEVIN, R., George, Holonomy of a foliation by principal curvature lines. Boletim da Sociedade Brasileira de Matemática. , v.39, p.341 - 354, 2008.

GARCIA, Ronaldo Alves, SOTOMAYOR, Jorge, Lines of Curvature on Surfaces, Historical Comments and Recent Developments. Sao Paulo Journal of Mathematical Sciences. , v.2, p.99 - 143, 2008.
GARCIA, Ronaldo Alves. A trefoil has two or more vertices. Results in Mathematics / Resultate der Mathematik. , v.50, p.43 - 51, 2007.
GARCIA, Ronaldo Alves, SOTOMAYOR, Jorge, Codimension two umbilic points on surfaces immersed in R³ . Discrete and Continuous Dynamical Systems. Series A. , v.17, p.293 - 308, 2007.
GARCIA, Ronaldo Alves, SOTOMAYOR, Jorge, Lines of Principal Curvature near Singular End Points of Surfaces in R³. Advanced Studies in Pure Mathematics (Amsterdam). , v.43, p.437 - 462, 2006.
GARCIA, Ronaldo Alves, SOTOMAYOR, Jorge, LLIBRE, Jaume, Lines of principal curvature on canal surfaces in R³ . Anais da Academia Brasileira de Ciências. , v.78, p.405 - 415, 2006.
GARCIA, Ronaldo Alves, SOTOMAYOR, Jorge, On the Patterns ofPrincipal Curvature Lines around a Curve of Umbilic Points. Anais da Academia Brasileira de Ciências. , v.77, p.13 - 24, 2005.
GARCIA, Ronaldo Alves, SOTOMAYOR, Jorge, GUTIERREZ, Carlos, Bifurcations of Umbilic Points and Related Principal Cycles. Journal of Dynamics and Differential Equations. , v.16, p.321 - 346, 2004.
GARCIA, Ronaldo Alves, SOTOMAYOR, Jorge, Lines of Mean Curvature on Surfaces Immersed in R3. Qualitative Theory of Dynamical Systems. , v.05, p.263 - 309, 2004.
GARCIA, Ronaldo Alves, On the 60th birthday of Jorge Sotomayor. Qualitative Theory of Dynamical Systems. , v.05, p.01 - 03, 2004.
GARCIA, Ronaldo Alves, TEIXEIRA, Marco Antonio, Vector fields on manifolds with boundary and reversibility - An expository account. Qualitative Theory of Dynamical Systems , v.05, p.185 - 200, 2004.
GARCIA, Ronaldo Alves, SOTOMAYOR, Jorge, A Metric Property of Umbilic Points. Anais da Academia Brasileira de Ciências. , v.75, p.405 - 413, 2003.
GARCIA, Ronaldo Alves, SOTOMAYOR, J., Harmonic mean curvature lines on surfaces immersed in R3. Boletim da Sociedade Brasileira de Matemática. , v.34, p.303 - 331, 2003.
GARCIA, Ronaldo Alves, PINA, Romildo da Silva, Ricci Tensors with Rotational Symmetry on Rn. Resenhas do Instituto de Matemática e Estatística da Universidade de São Paulo. , v.06, p.74 - 84, 2003.
GARCIA, Ronaldo Alves, SOTOMAYOR, J., Structural stability of piecewise vector fields on the plane. Journal of Differential Equations. , v.192, p.553 - 565, 2003.
GARCIA, Ronaldo Alves, BRINGAS, F. S., Closed principal lines of surfaces immersed in the euclidean 4-space. Journal of Dynamical and Control Systems. , v.8, p.163 - 176, 2002.
GARCIA, Ronaldo Alves, SOTOMAYOR, Jorge, Geometric Mean Curvature Lines on Surfaces Immersed in R3. Annales de la Faculté des Sciences de Toulouse. , v.11, p.377 - 401, 2002.

GARCIA, Ronaldo Alves, MOTA, J. C., SOUZA, A. J., TEIXEIRA, P. W., Oxidation fronts in a simplified model for two-phase flow in porus media. Matemática Contemporânea. , v.22, p.67 - 82, 2002.

GARCIA, Ronaldo Alves, SOTOMAYOR, Jorge, Umbilic and tangential singularities on configurations of principal curvature lines. Anais da Academia Brasileira de Ciências. , v.74, p.01 - 17, 2002.

GARCIA, Ronaldo Alves, Principal curvature near Darbouxian partially umbilic points of hypersurfaces immersed in R4. Journal of Computational and Applied Mathematics. , v. 20, p.121 - 148, 2001.
GARCIA, Ronaldo Alves, SOTOMAYOR, J., Structuraly Stable Configurations of Lines of Mean Curvature and Umbilc Points on Surfaces Immersed in R3 . Publicacions Matemàtiques. , v.45, p.431 - 466, 2001.
GARCIA, Ronaldo Alves, MOCHIDA, D. K. H., FUSTER, M. E. C. R., RUAS, Maria Aparecida Soares, Inflection Points and Topology of Surfaces in 4-Space. Transactions of the American Mathematical Society. , v.352, p.3029 - 3043, 2000.

GARCIA, Ronaldo Alves, SOTOMAYOR, Jorge, Lines of Axial Curvature on Surfaces Immersed in R4. Differential Geometry and Its Applications. , v.12, p.253 - 269, 2000.

GARCIA, Ronaldo Alves, GUTIERREZ, Carlos, SOTOMAYOR, Jorge, Lines of Principal Curvature around Umbilics and Whitney Umbrellas. Tohoku Mathematical Journal. , v.52, p.163 - 172, 2000.

GARCIA, Ronaldo Alves, GUTIERREZ, Carlos, Ovaloids of R3 and their umbilics: A differential equation approach,,Journal of Differential Equations. , v.168, p.200 - 211, 2000.

GARCIA, Ronaldo Alves, SOTOMAYOR, Jorge, SIERSMA, D., Curvature of Conflict Surfaces in Euclidean 3-Space. Banach Center Publications. , v.50, p.277 - 285, 1999.

GARCIA, Ronaldo Alves, GUTIERREZ, C., SOTOMAYOR, J., Structural Stability of Asymptotic Lines on Surfaces Immersed into R ³. Bulletin des Sciences Mathématiques. , v.123, p.599 - 622, 1999.

GARCIA, Ronaldo Alves, SOTOMAYOR, J., Structurall Stability of Parabolic Points and Periodic Asymptotic Lines. Matemática Contemporânea. , v.12, p.83 - 107, 1997.

GARCIA, Ronaldo Alves, GUILLAMON, A., GASULL, A., Geometrical Conditions for Global Stability of Vector Fields on The Plane. Mathematical Proceedings of the Cambridge Philosophical Society. , v.120, p.499 - 518, 1996.

GARCIA, Ronaldo Alves, SOTOMAYOR, J., Lines of Curvatue on Algebraic Surfaces. Bulletin des Sciences Mathématiques. , v.120, p.367 - 395, 1996.

GARCIA, Ronaldo Alves Hyperbolic Principal Cycles of Hypersurfaces of R4. Annals of Global Analysis and Geometry. , v.11, p.185 - 196, 1993.

GARCIA, Ronaldo Alves, SOTOMAYOR, Jorge Lines of Curvature Near Hyperbolic Principal Cycles. PITMAN RESEACHES NOTES. , v.285, p.255 - 262, 1993.

GARCIA, Ronaldo Alves, SOTOMAYOR, J., Lines of Curvature near Singular Points of Implicit Surfaces. Bulletin des Sciences Mathématiques. , v.117, p.313 - 331, 1993.

GARCIA, Ronaldo Alves Lignes de Courbure d'Hypersurfaces Immergeés dans l'Espace R4. Anais da Academia Brasileira de Ciências. , v.64, p.01 - 06, 1992.

GARCIA, Ronaldo Alves, SOTOMAYOR, J., Lines of Curvature Near Principal Cycles. Annals of Global Analysis and Geometry. , v.10, p.275 - 289, 1992.

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