On uniqueness and differentiability in the space of Yamabe metrics
Differential Geometry
2007-05-23 v3 Geometric Topology
Abstract
We prove that generically (positive) Yamabe metrics are unique in their conformal class, and describe some sufficient conditions which imply that a Yamabe metric of locally maximal scalar curvature is an Einstein metric.
Cite
@article{arxiv.math/0210446,
title = {On uniqueness and differentiability in the space of Yamabe metrics},
author = {Michael T. Anderson},
journal= {arXiv preprint arXiv:math/0210446},
year = {2007}
}
Comments
9pp. This is a complete rewritting of the previous version on the same topic, with new title. The reasoning for (2.14) in v1 is incorrect, and this estimate remains an open problem