Harmonic Functions, Entropy, and a Characterization of the Hyperbolic Space
| dc.creator | Wang, Xiaodong | |
| dc.date | 2007-11-28 | |
| dc.date.accessioned | 2026-07-07T08:45:57Z | |
| dc.date.available | 2026-07-07T08:45:57Z | |
| dc.description | Let $(M^{n},g)$ be a compact Riemannian manifold with $Ric\geq-(n-1) $. It is well known that the bottom of spectrum $λ_{0}$ of its unverversal covering satisfies $λ_{0}\leq(n-1) ^{2}/4 $. We prove that equality holds iff $M$ is hyperbolic. This follows from a sharp estimate for the Kaimanovich entropy. | |
| dc.description | to appear in J. Geom. Anal | |
| dc.identifier | https://arxiv.org/abs/0711.4592 | |
| dc.identifier | http://arxiv.org/abs/0711.4592 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/143125 | |
| dc.subject | Differential Geometry | |
| dc.title | Harmonic Functions, Entropy, and a Characterization of the Hyperbolic Space | |
| dc.type | text |