Critical Point Equation on three-dimensional manifolds and the Besse Conjecture
Differential Geometry
2022-12-02 v3
Abstract
In this paper, we present the resolution of the Besse conjecture on a three dimensional compact manifold. We also prove the rigidity of the Miao-Tam critical metric on a three dimensional compact manifold with a smooth boundary.
Keywords
Cite
@article{arxiv.2208.10887,
title = {Critical Point Equation on three-dimensional manifolds and the Besse Conjecture},
author = {Gabjin Yun and Seungsu Hwang},
journal= {arXiv preprint arXiv:2208.10887},
year = {2022}
}
Comments
There is an error in the proof of Lemma 3.6 (Lemma 5.1)