A NOTE ON THE UNIQUENESS OF SOLUTIONS FOR THE YAMABE PROBLEM
| Contribuinte(s) |
UNIVERSIDADE DE SÃO PAULO |
|---|---|
| Data(s) |
29/10/2013
29/10/2013
2012
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| 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 |
| 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 |
