Abundance of hyperbolicity in the topology
Raúl Ures (1995)
Annales scientifiques de l'École Normale Supérieure
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Displaying similar documents to “The interior of zero entropy diffeomorphisms.”
Abundance of hyperbolicity in the topology
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Let f : Y → X be a continuous map between a compact real analytic Kähler manifold (Y, g) and a compact complex hyperbolic manifold (X, g0). In this paper we give a lower bound of the diastatic entropy of (Y, g) in terms of the diastatic entropy of (X, g0) 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...