Geometric contacts of surfaces immersed in R-n, n >= 5

Autor(es)

Costa, S. I. R. ^[1] ; Moraes, S. M. ^[2] ; Romero-Fuster, M. C. ^[3]

Afiliação do(s) autor(es)

^[1] Univ Estadual Campinas, Dept Matemat, IMECC, BR-13083859 Campinas, SP - Brazil

^[2] Univ Fed Vicosa, Dept Matemat, BR-36570000 Vicosa, MG - Brazil

^[3] Univ Valencia, Dept Geometria & Topol, E-46100 Valencia - Spain

• Tipo de documento: Artigo Científico
• Fonte: DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS; v. 27, n. 3, p. 442-454, JUN 2009.
• Citações Web of Science: 6

Resumo

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. (AU)

• Processo FAPESP: 02/07473-7 - Códigos geometricamente uniformes em espaços homogêneos
• Beneficiário: Sueli Irene Rodrigues Costa
• Modalidade de apoio: Auxílio à Pesquisa - Temático