Rigidity and Non-Rigidity of $\mathbb{H}^n/\mathbb{Z}^{n-2}$ with Scalar Curvature Bounded from Below
Differential Geometry
2023-11-02 v2
Abstract
We show that the hyperbolic manifold is not rigid under all compactly supported deformations that preserve the scalar curvature lower bound , and that it is rigid under deformations that are further constrained by certain topological conditions. In addition, we prove two related splitting results.
Keywords
Cite
@article{arxiv.2303.15752,
title = {Rigidity and Non-Rigidity of $\mathbb{H}^n/\mathbb{Z}^{n-2}$ with Scalar Curvature Bounded from Below},
author = {Tianze Hao and Yuhao Hu and Peng Liu and Yuguang Shi},
journal= {arXiv preprint arXiv:2303.15752},
year = {2023}
}