Complete rotation hypersurfaces with H-k constant in space forms

In this paper we classify all complete rotation hypersurfaces with H-k constant in Rn+1 and Hn+1, where H-k is the normalized k-th symmetric function of the principal curvatures. Partial results are also given for Sn+1.

Detalhes bibliográficos
Autor: Palmas, O
Tipo de documento: artigo
Estado:Versão publicada
Data de publicação:1999
País:México
Recursos:Universidad Nacional Autónoma de México
Repositório:Sistema de Información de la Facultad de Ciencias, UNAM
OAI Identifier:oai:repositorio.fciencias.unam.mx:11154/2596
Acesso em linha:http://hdl.handle.net/11154/2596
Access Level:Acceso aberto
Palavra-chave:Mathematics
rotation hypersurfaces
space forms
Descrição
Resumo:In this paper we classify all complete rotation hypersurfaces with H-k constant in Rn+1 and Hn+1, where H-k is the normalized k-th symmetric function of the principal curvatures. Partial results are also given for Sn+1.