Rigidity and Non-Rigidity of ${\mathbb{H}}^n/{\mathbb{Z}}^{n-2}$ with Scalar Curvature Bounded from Below

Tianze Hao, Yuhao Hu, Peng Liu +1

We show that the hyperbolic manifold ${\mathbb{H}}^n/{\mathbb{Z}}^{n-2}$ is not rigid under all compactly supported deformations that preserve the scalar curvature lower bound $-n(n-1)…