0
$\begingroup$

Could someone give examples of non-Riemannian manifolds that are Alexandrov spaces with $\mathrm{sec}\geq-1$ and the first eigenvalue equal to $(n-1)^2/4$?

Improve this question
$\endgroup$
2
  • 3
    $\begingroup$ 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. $\endgroup$
    – Ian Agol
    Commented Jan 15, 2013 at 18:21
  • $\begingroup$ "sharp spectral gap and Li-Yau's estimate on Alexandrov spaces" ,the first page you can see the definition $\endgroup$
    – jiangsaiyin
    Commented Jan 16, 2013 at 2:39

0

Reset to default

You must log in to answer this question.

Browse other questions tagged .