A NOTE ON THE UNIQUENESS OF SOLUTIONS FOR THE YAMABE PROBLEM


Autoria(s): de Lima, L. L.; Piccione, P.; Zedda, M.
Contribuinte(s)

UNIVERSIDADE DE SÃO PAULO

Data(s)

29/10/2013

29/10/2013

2012

Resumo

Using recent results on the compactness of the space of solutions of the Yamabe problem, we show that in conformal classes of metrics near the class of a nondegenerate solution which is unique (up to scaling) the Yamabe problem has a unique solution as well. This provides examples of a local extension, in the space of conformal classes, of a well-known uniqueness criterion due to Obata.

CNPq

CNPq

Funcap, Brazil

Funcap, Brazil

FAPESP (Brazil)

Fapesp, Brazil

RAS

RAS

Identificador

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, PROVIDENCE, v. 140, n. 12, pp. 4351-4357, DEC, 2012

0002-9939

http://www.producao.usp.br/handle/BDPI/36410

Idioma(s)

eng

Publicador

AMER MATHEMATICAL SOC

PROVIDENCE

Relação

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY

Direitos

openAccess

Copyright AMER MATHEMATICAL SOC

Palavras-Chave #CONSTANT SCALAR CURVATURE #BLOW-UP PHENOMENA #COMPACTNESS #EQUATION #MATHEMATICS, APPLIED #MATHEMATICS
Tipo

article

original article

publishedVersion