On the umbilicity of generalized linear Weingarten hypersurfaces in hyperbolic spaces-Reference-Cited by-同舟云学术

On the umbilicity of generalized linear Weingarten hypersurfaces in hyperbolic spaces

Published:2018-03-26 Issue:4 Volume:18 Page:425-430
ISSN:1615-7168
Container-title:Advances in Geometry
language:en
Short-container-title:

Author:

Aquino Cícero P.¹,Batista Márcio²,de Lima Henrique F.³

Affiliation:

1. Departamento de Matemática , Universidade Federal do Piauí , 64049-550 Teresina , Piauí , Brazil

2. Instituto de Matemática , Universidade Federal de Alagoas , 57072-970 Maceió , Alagoas , Brazil

3. Departamento de Matemática , Universidade Federal de Campina Grande , 58429-970 Campina Grande , Paraíba , Brazil

Abstract

Abstract We deal with complete generalized linear Weingarten hypersurfaces immersed in hyperbolic spaces. Under appropriate constraints on the image of the Gauss map, we present suitable conditions which guarantee the umbilicity of these hypersurfaces.

Publisher

Walter de Gruyter GmbH

Subject

Geometry and Topology

Link

https://www.degruyter.com/document/doi/10.1515/advgeom-2018-0005/pdf

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