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Tori embedded in S³ with dense asymptotic lines
(Academia Brasileira de Ciências, 2009)
In this paper are given examples of tori T² embedded in S³ with all their asymptotic lines dense.
Minimal surfaces in S(3) with constant contact angle
(SPRINGER WIEN, 2009)
We provide a characterization of the Clifford Torus in S(3) via moving frames and contact structure equations. More precisely, we prove that minimal surfaces in S(3) with constant contact angle must be the Clifford Torus. ...
Tori embedded in R(3) with dense principal lines
(GAUTHIER-VILLARS/EDITIONS ELSEVIER, 2009)
In this paper are given examples of tori T(2) embedded in R(3) with all their principal lines dense. These examples are obtained by stereographic projection of deformations of the Clifford torus in S(3). (C) 2008 Elsevier ...
Hypersurfaces of the Euclidean sphere with nonnegative Ricci curvature
(2003)
In this paper we prove that a compact oriented hypersurface of a Euclidean sphere with nonnegative Ricci curvature and infinite fundamental group is isometric to an H(r)-torus with constant mean curvature. Furthermore, we ...
Superfícies isoperimétricas e a conjectura de Willmore no 3-espaço projetivo real
(Universidade Federal de Minas GeraisUFMG, 2015-11-27)
In this paper, we study the proof of the Willmore conjecture in the real projective space (...), made by A. Ross [24], which tells us for any torus immersed in the real projective space (...) with mean curvature H we have ...
Uma caracterização espectral para os H(r)-toros na esfera
(Universidade Federal de Minas GeraisBrasilICX - DEPARTAMENTO DE MATEMÁTICAPrograma de Pós-Graduação em MatemáticaUFMG, 2020-02-07)
In this thesis we obtain some spectral estimates to characterize the Clifford hypersurfaces or H(r)-torus in the sphere S^n+1. The work was divided into two parts. In the first part we consider hypersurfaces closed in S^n+p ...
Hipersuperfícies conformemente euclidianas com curvatura média ou escalar constante
(Universidade Federal de São CarlosUFSCarPrograma de Pós-Graduação em Matemática - PPGMCâmpus São Carlos, 2016-11-10)
In this work we study conformally flat hypersurfaces f: M3 ^ Q4(c) with three distinct principal curvatures in a space form with constant sectional curvature c, under the assumption that either its mean curvature H or its ...
Hypersurfaces of ${\mathbb s}^{n+1}$ with two distinct principal curvatures
(Brasil, 2005)
The aim of this paper is to prove that the Ricci curvature ${\rm Ric}_M$ of a complete hypersurface $M^n$, $n\,{\ge}\,3$, of the Euclidean sphere $\mathbb{S}^{n+1}$, with two distinct principal curvatures of multiplicity ...