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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

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

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Author(s):
Lobos, G. A. [1] ; Tassi, M. P. [1]
Total Authors: 2
Affiliation:
[1] Univ Fed Sao Carlos, Dept Math, Sao Carlos, SP - Brazil
Total Affiliations: 1
Document type: Journal article
Source: DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS; v. 62, p. 72-82, FEB 2019.
Web of Science Citations: 1
Abstract

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)

FAPESP's process: 16/23746-6 - Algebraic, topological and analytical techniques in differential geometry and geometric analysis
Grantee:Paolo Piccione
Support Opportunities: Research Projects - Thematic Grants