Research area: Differential Geometry
Main current interest:
Pseudo-parallel submanifolds, Lagrangian submanifolds, Lorentzian submanifolds.
Publications:
- Pseudo-parallel Lorentzian Surfaces in Pseudo-Riemannian Space Forms.
Results in Mathematics, v. 78, p. 39, 2023. (With Melara, Mynor; Palmas, Oscar)
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- The isoperimetric problem in the hyperbolic 3-torus.
Matemática Contemporânea, v. 49, p. 53-86, 2022. (With Yucra Hancco, A. J.; Batista, V. R. )
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- A classification of pseudo-parallel hypersurfaces of S^nxR and H^nxR.
Differential Geometry and its Applications, v. 62, p. 72-82, 2019. (With Tassi, M.)
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- Pseudo-parallel surfaces of S^n_cxR and H^n_cxR.
Bulletin of the Brazilian Mathematical Society, v. 50, p. 705-715, 2018. (With Tassi, M.; Yucra Hancco, A. J.)
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- On Hamiltonian minimal submanifolds in the space of oriented geodesics in real space forms.
Arch. Math. 106, 285--293, 2016. (With N. Georgiou)
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- Explicit minimal Scherk saddle towers of arbitrary even genera in ℝ^3.
Publ. Mat. 58, 445--468, 2014. (Whit A. J. Yucra Huancco and V. Ramos Batista)
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- Minimal surfaces with only horizontal symmetries.
ISRN Geometry 1-19, 2011. (With M. F. da Silva and V. Ramos Batista)
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- Pseudo-parallel Lagrangian submanifolds in complex space forms.
Differential Geom. Appl. 27 (2009), 137--145. (With P. M. Chacón)
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- C-Totally real submanifolds with parallel mean curvature in $\lambda$-Sasakian space forms.
Mat. Contemp. 34 (2008), 83–102. (With A. Brasil and M. Mariano)
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- Pseudo-parallel submanifolds with flat normal bundle in space forms.
Glasg. Math. J. 48 (2006), 171--177. (With R. Tojeiro)
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- Pseudo-parallel real hypersurfaces in complex space forms.
Bull. Korean Math. Soc. 41, 609--618, 2004. (With M. Ortega).
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- On Pseudo-parallel Hypersurfaces in Pseudo-Riemannian Space Forms.
Proceedings of the XI Fall Workshop on Geometry and Physics, (Oviedo 2002),
Publ. R. Soc. Mat. Esp. 6 (2004), 229--234.
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- Pseudo-parallel surfaces in space forms.
Differential Geometry. Proceedings of the international conference held in honour of the 60th birthday of A. M. Naveira,
(Valencia 2001). Singapore: World Scientific. (2002), 197--204.
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- Pseudo-parallel submanifolds of a space form.
Adv. Geom. 2 (2002), 57-71. (With A. C. Asperti and F. Mercuri.)
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- Pseudo-parallel immersions in space forms.
Mat. Contemp. 17 (1999), 59-70. (With A. C. Asperti and F. Mercuri)
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Preprints:
- Pseudo-parallel contact normal submanifolds in Kenmotsu manifolds
(2009) (With Maxwell Mariano).
In progress:
- Pseudo-parallel Lorentzian hypersurfaces in Lorentzian space forms.
- Pseudo-parallel Lorentzian Lagrangian submanifolds in Lorentzian complex space forms.
Other publications:
- Workshop on Differential Geometry. Papers from the workshop held at the Universidade Estadual de Campinas,
Campinas, December 18--20, 2006. Edited by Guillermo Antonio Lobos. Mat. Contemp. 33 (2007).
Sociedade Brasileira de Matemática, Rio de Janeiro, 2007. 243 pp.
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Abstract:
- Hipersuperficies seudoparalelas em formas espaciales, Actas de Resumenes, Conferencias,
Comunicações, Sociedad de Matemática de Chile, V Simpósio Chileno de Matemática,
Olmué-Chile, (1998), 55--56.
Books:
- Atividades com Cabri Géomètre II
para cursos de licenciatura em matemática e professores do ensino fundamental e médio.
EDUFSCar (2002), pp. 240. (Whit Y. Y. Baldin).
Primeira re-impressão em (2004). Livro selecionado pela Biblioteca Nacional
dentro do Programa Livro Aberto, em 2004.
Projects:
Visiting positions:
Talks in congress:
- 2004 XIII Escola de Geometria Diferencial,
São Paulo, Brazil (IME-USP).
- 2003 24o Colóquio
Brasileiro de Matemática, Rio de Janeiro, Brazil. (IMPA)
- 2002 XI Encuentro de Geometría y Física,
Oviedo, Spain. (Univ. de Oviedo)
- 2001 23o
Colóquio Brasileiro de Matemática, Rio de Janeiro, Brazil. (IMPA).
- 2000 XI
Escola de Geometria Diferencial, Niteroi, Brazil. (UFF).
- 1998 Quinto
Simposio Chileno de Matemática, Olmué, Chile.
- 1998 X
Escola de Geometria Diferencial, Belo Horizonte, Brazil. (UFBH).
Guest talks:
Group of research in geometry at DM-UFSCar:
Last modified: Mon Feb 27, 2006
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