Isometric immersions into a homogeneous Lorentzian Heisenberg group and rigidity


Autoria(s): LODOVICI, Sinue Dayan Barbero; MANFIO, Fernando
Contribuinte(s)

UNIVERSIDADE DE SÃO PAULO

Data(s)

20/10/2012

20/10/2012

2009

Resumo

In this paper we prove an existence result for local and global isometric immersions of semi-Riemannian surfaces into the three dimensional Heisenberg group endowed with a homogeneous left-invariant Lorentzian metric. As a corollary, we prove a rigidity result for such immersions.

Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)

Fundação de Amparo à Pesquisa do Estado de São Paulo - FAPESP[04/13586-4]

Identificador

MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, v.147, p.185-204, 2009

0305-0041

http://producao.usp.br/handle/BDPI/28849

10.1017/S0305004109002308

http://dx.doi.org/10.1017/S0305004109002308

Idioma(s)

eng

Publicador

CAMBRIDGE UNIV PRESS

Relação

Mathematical Proceedings of the Cambridge Philosophical Society

Direitos

restrictedAccess

Copyright CAMBRIDGE UNIV PRESS

Palavras-Chave #Mathematics
Tipo

article

original article

publishedVersion