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|Type:||Artigo de periódico|
|Title:||Pseudo-parallel submanifolds of a space form|
|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.|
|Editor:||Walter De Gruyter & Co|
|Appears in Collections:||Unicamp - Artigos e Outros Documentos|
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