Please use this identifier to cite or link to this item: http://repositorio.unicamp.br/jspui/handle/REPOSIP/78890
Type: Artigo de periódico
Title: Cohomogeneity one hypersurfaces of Euclidean spaces
Author: Mercuri, F
Podesta, F
Seixas, JAR
Tojeiro, R
Abstract: We study isometric immersions f : M-n -> Rn+1 into Euclidean space of dimension n + 1 of a complete Riemannian manifold of dimension n on which a compact connected group of intrinsic isometrics acts with principal orbits of codimension one. We give a complete classification if either n >= 3 and M-n is compact or if n >= 5 and the connected components of the flat part of W are bounded. We also provide several sufficient conditions for f to be a hypersurface of revolution.
Subject: cohomogeneity one manifolds
hypersurfaces
Country: Suíça
Editor: European Mathematical Soc
Citation: Commentarii Mathematici Helvetici. European Mathematical Soc, v. 81, n. 2, n. 471, n. 479, 2006.
Rights: fechado
Date Issue: 2006
Appears in Collections:Unicamp - Artigos e Outros Documentos

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