Equivariance and Multiplicity for the Scalar Curvature Problem |
| |
Authors: | Antoinette Jourdain |
| |
Affiliation: | (1) Département de Mathématiques, Site Saint-Martin, Université de Cergy-Pontoise, 2 Avenue Adolphe Chauvin, F-95302 Cergy Pontoise Cedex, France |
| |
Abstract: | Given (M, g0) a three-dimensional compact Riemannian manifold, assumed not to be conformally diffeomorphic to the standard unit 3-sphere, and G a compactsubgroup of the conformal group of (M, g0), we first study conditions for a smooth G-invariant function f to be the scalar curvature of a G-invariant conformalmetric to g0. Then, extending previous results of Hebeyand Vaugon, we study conditions for f to be the scalarcurvature of at least two conformal metrics to g0. |
| |
Keywords: | conformal group scalar curvature test functions |
本文献已被 SpringerLink 等数据库收录! |
|