examples of Alexandrov space with sec>=-1 and first eigenvalue =(n-1)^2/4

could someone give some examples :nonRiemannian manifold Alexandrov space with sec>=-1 and the first eigenvalue equal to (n-1)^2/4

flag	asked Jan 15 at 16:46 jiangsaiyin 307●5

I'm not sure if I understand your question, but one might be able to take $\mathbb{H}^n$ modulo an appropriate finite group. It would help if you could give a reference for the definition of the eigenvalue for a non-Riemannian Alexandrov space. – Agol Jan 15 at 18:21

"sharp spectral gap and Li-Yau's estimate on Alexandrov spaces" ,the first page you can see the definition – jiangsaiyin Jan 16 at 2:39

Browse other questions tagged alexandrov-geometry dg.differential-geometry or ask your own question.

question feed