Conformal classes realizing the Yamabe invariant
Differential Geometry
2014-12-30 v2
Abstract
We give a characterization of conformal classes realizing a compact manifold's Yamabe invariant. This characterization is the analogue of an observation of Nadirashvili for metrics realizing the maximal first eigenvalue, and of Fraser and Schoen for metrics realizing the maximal first Steklov eigenvalue.
Keywords
Cite
@article{arxiv.1411.0193,
title = {Conformal classes realizing the Yamabe invariant},
author = {Heather Macbeth},
journal= {arXiv preprint arXiv:1411.0193},
year = {2014}
}
Comments
11 pages. An error in Thm 1.1 is corrected, and some typos fixed