A classification of pseudo-parallel hypersurfaces of S-n x R and H-n x R

Autor(es)

Lobos, G. A. ^[1] ; Tassi, M. P. ^[1]

Afiliação do(s) autor(es)

^[1] Univ Fed Sao Carlos, Dept Math, Sao Carlos, SP - Brazil

• Tipo de documento: Artigo Científico
• Fonte: DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS; v. 62, p. 72-82, FEB 2019.
• Citações Web of Science: 1

Resumo

In this work we complete a classification of pseudo-parallel hypersurfaces of S-n x R and H-n x R, that was partially given by F. Lin and B. Yang. As an application, we obtain a classification of pseudo-parallel hypersurfaces with constant mean curvature. In particular, we prove that a minimal pseudo-parallel hypersurface is either a totally geodesic hypersurface, a minimal rotation hypersurface or a cylinder over a generalized Clifford torus in S-n. Moreover, we prove that any pseudo-parallel hypersurface is a pseudo-symmetric manifold in the sense of R. Deszcz. (C) 2018 Elsevier B.V. All rights reserved. (AU)

• Processo FAPESP: 16/23746-6 - Técnicas algébricas, topológicas e analíticas em geometria diferencial e análise geométrica
• Beneficiário: Paolo Piccione
• Linha de fomento: Auxílio à Pesquisa - Temático