The hypersurfaces with conformal normal Gauss map in Hn+1 and S1n+1

In this paper, we introduce the fourth fundamental forms for hypersurfaces in Hn+1 and space-like hypersurfaces in S1n+1, and discuss the conformality of the normal Gauss map of the hypersurfaces in Hn+1 and S1n+1. Particularly, we discuss the surfaces with conformal normal Gauss map in H³ and S³1,...

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Bibliographic Details
Main Author: Shuguo Shi
Format: Article
Language:English
Published: Academia Brasileira de Ciências 2008-03-01
Series:Anais da Academia Brasileira de Ciências
Subjects:
Online Access:http://www.scielo.br/scielo.php?script=sci_arttext&pid=S0001-37652008000100002