Please use this identifier to cite or link to this item: http://repositorio.unicamp.br/jspui/handle/REPOSIP/58383
Type: Artigo de periódico
Title: Pseudo-parallel submanifolds of a space form
Author: Asperti, AC
Lobos, GA
Mercuri, F
Abstract: Pseudo-parallel immersions into space forms are defined as extrinsic analogues of pseudo-symmetric manifolds (in the sense of R. Deszcz) and as a direct generalization of semi-parallel immersions. In this paper we obtain a description of pseudo-parallel hypersurfaces of a space form as quasi-umbilic hypersurfaces or cyclids of Dupin. Moreover, we study pseudo-parallel immersions of surfaces and pseudo-parallel immersions with maximal first normal bundle in space forms. Finally, we give a topological classification of some complete, simply connected manifolds admitting a pseudo-parallel immersion into a space form.
Country: Alemanha
Editor: Walter De Gruyter & Co
Rights: embargo
Date Issue: 2002
Appears in Collections:Unicamp - Artigos e Outros Documentos

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