Critical Point Equation on three-dimensional manifolds and the Besse Conjecture

Gabjin Yun; Seungsu Hwang

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arXiv · 2208.10887

Critical Point Equation on three-dimensional manifolds and the Besse Conjecture

Gabjin Yun·Seungsu Hwang

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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.

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Gabjin Yun, Seungsu Hwang. 2022-08-23. Critical Point Equation on three-dimensional manifolds and the Besse Conjecture. https://arxiv.org/abs/2208.10887

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