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Type: Artigo de periódico
Title: Geometric contacts of surfaces immersed in R-n, n >= 5
Author: Costa, SIR
Moraes, SM
Romero-Fuster, MC
Abstract: We study the extrinsic geometry of surfaces immersed in R-n, n >= 5, by analyzing their contacts with different standard geometrical models, such as hyperplanes and hyperspheres. We investigate the relation between different types of contact and the properties of the curvature ellipses at each point. In particular, we focalize our attention on the hyperspheres having contacts of corank two with the surface. This leads in a natural way to the concept of umbilical focus and umbilic curvature. (C) 2008 Elsevier B.V. All rights reserved.
Subject: Distance-squared functions
Curvature ellipse
Focal set
Country: Holanda
Editor: Elsevier Science Bv
Citation: Differential Geometry And Its Applications. Elsevier Science Bv, v. 27, n. 3, n. 442, n. 454, 2009.
Rights: fechado
Identifier DOI: 10.1016/j.difgeo.2008.10.020
Date Issue: 2009
Appears in Collections:Unicamp - Artigos e Outros Documentos

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