| Full text | |
| Author(s): |
Mossa, Roberto
Total Authors: 1
|
| Document type: | Journal article |
| Source: | COMPLEX MANIFOLDS; v. 3, n. 1, p. 186-192, JAN 2016. |
| Web of Science Citations: | 2 |
| Abstract | |
Let f : Y -> X be a continuous map between a compact real analytic Kahler manifold (Y, g) and a compact complex hyperbolic manifold (X, g(0)). In this paper we give a lower bound of the diastatic entropy of (Y, g) in terms of the diastatic entropy of (X, g(0)) and the degree of f. When the lower bound is attained we get geometric rigidity theorems for the diastatic entropy analogous to the ones obtained by G. Besson, G. Courtois and S. Gallot {[}2] for the volume entropy. As a corollary, when X = Y, we get that the minimal diastatic entropy is achieved if and only if g is isometric to the hyperbolic metric g(0). (AU) | |
| FAPESP's process: | 14/25190-0 - Kahlerian methods in Riemannian Geometry |
| Grantee: | Roberto Mossa |
| Support Opportunities: | Scholarships in Brazil - Post-Doctoral |