Please use this identifier to cite or link to this item:
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
Citation: Advances In Geometry. Walter De Gruyter & Co, v. 2, n. 1, n. 57, n. 71, 2002.
Rights: embargo
Date Issue: 2002
Appears in Collections:Unicamp - Artigos e Outros Documentos

Files in This Item:
File Description SizeFormat 
WOS000180281900004.pdf147.64 kBAdobe PDFView/Open

Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.