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ON EXTRINSICALLY SYMMETRIC HYPERSURFACES OF ℍn×ℝ

Part of: Local differential geometry

Published online by Cambridge University Press:  27 September 2010

GIOVANNI CALVARUSO ,
DANIEL KOWALCZYK  and
JOERI VAN DER VEKEN
GIOVANNI CALVARUSO
Affiliation:
Dipartimento di Matematica, Università del Salento, ‘E. De Giorgi’, Provinciale Lecce–Arnesano, 73100 Lecce, Italy (email: giovanni.calvaruso@unile.it)
DANIEL KOWALCZYK
Affiliation:
Departement Wiskunde, Katholieke Universiteit Leuven, Celestijnenlaan, 200B, Box 2400, B-3001 Leuven, Belgium (email: daniel.kowalczyk@wis.kuleuven.be)
JOERI VAN DER VEKEN*
Affiliation:
Departement Wiskunde, Katholieke Universiteit Leuven, Celestijnenlaan 200B, Box 2400, B-3001 Leuven, Belgium (email: joeri.vanderveken@wis.kuleuven.be)
*
✉For correspondence; e-mail: joeri.vanderveken@wis.kuleuven.be
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Abstract

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Totally umbilical, semi-parallel and parallel hypersurfaces of ℍn×ℝ are completely classified. More examples arise than in the analogous study on the ambient space 𝕊n×ℝ.

Keywords

hypersurfaceparallelsemi-paralleltotally umbilical

MSC classification

Secondary: 53B25: Local submanifolds
Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 82 , Issue 3 , December 2010 , pp. 390 - 400
Copyright
Copyright © Australian Mathematical Publishing Association Inc. 2010

Footnotes

The third named author is a postdoctoral researcher supported by the Research Foundation—Flanders (FWO).

References

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