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Parallel and semi-parallel hypersurfaces of $$ \mathbb{S}^n $$ × ℝ

Authors :
Joeri Van der Veken
Luc Vrancken
Source :
Bulletin of the Brazilian Mathematical Society, New Series. 39:355-370
Publication Year :
2008
Publisher :
Springer Science and Business Media LLC, 2008.

Abstract

We give a complete classification of totally umbilical, parallel and semi-parallel hypersurfaces of the Riemannian product space \( \mathbb{S}^n \) × ℝ.

Subjects

Subjects :
Pure mathematics
Hypersurface
Quantitative Biology::Tissues and Organs
General Mathematics
Mathematical analysis
Product topology
Mathematics::Differential Geometry
Mathematics

Details

ISSN :
16787714 and 16787544
Volume :
39
Database :
OpenAIRE
Journal :
Bulletin of the Brazilian Mathematical Society, New Series
Accession number :
edsair.doi...........04d9e5e398a2915974615d6f1c647a46
Full Text :
https://doi.org/10.1007/s00574-008-0010-8
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