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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

On the diastatic entropy and C-1-rigidity of complex hyperbolic manifolds

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Author(s):
Mossa, Roberto
Total Authors: 1
Document type: Journal article
Source: JOURNAL OF GEOMETRY AND PHYSICS; v. 142, p. 213-228, AUG 2019.
Web of Science Citations: 0
Abstract

Let f : (Y, g) -> (X, g(0)) be a nonzero degree continuous map between compact Kahler manifolds of dimension n >= 2, where go has constant negative holomorphic sectional curvature. Adapting the Besson-Courtois-Gallot barycentre map techniques to the Kahler setting, we prove a gap theorem in terms of the degree of f and the diastatic entropies of (Y, g) and (X, g(0)) which extends the rigidity result proved by the author in {[}13]. (C) 2019 Elsevier B.V. All rights reserved. (AU)

FAPESP's process: 18/08971-9 - Diastatic entropy and rigidity of hyperbolic manifolds
Grantee:Roberto Mossa
Support Opportunities: Research Grants - Young Investigators Grants