Euclidean hypersurfaces with genuine deformations in codimension two

Autor(es)

Dajczer, M. ^[1] ; Florit, L. ^[1] ; Tojeiro, R. ^[2]

Afiliação do(s) autor(es)

^[1] IMPA, BR-22460320 Rio De Janeiro - Brazil

^[2] Univ Fed Sao Carlos, BR-13565905 Sao Carlos, SP - Brazil

• Tipo de documento: Artigo Científico
• Fonte: MANUSCRIPTA MATHEMATICA; v. 140, n. 3-4, p. 621-643, MAR 2013.
• Citações Web of Science: 3

Resumo

We classify hypersurfaces of rank two of Euclidean space Rn+1 that admit genuine isometric deformations in Rn+2. That an isometric immersion (f) over cap : M-n -> Rn+2 is a genuine isometric deformation of a hypersurface f : M-n -> Rn+1 means that (f) over cap is nowhere a composition (f) over cap = (f) over cap circle f, where (f) over cap : V subset of Rn+1 -> Rn+2 is an isometric immersion of an open subset V containing the hypersurface. (AU)

• Processo FAPESP: 07/03192-7 - Teoria de subvariedades e teoria de Morse em dimensão finita e infinita
• Beneficiário: Claudio Gorodski
• Modalidade de apoio: Auxílio à Pesquisa - Temático