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Variations d'entropies et déformations de structures conformes plates sur les variétés hyperboliques compactes

Published online by Cambridge University Press:  01 December 2000

JULIEN MAUBON
Affiliation:
Forschungsinstitut für Mathematik, ETH-Zentrum, 8092 Zurich, Switzerland

Abstract

We study the link between variations of entropy on a compact hyperbolic manifold $M$ and infinitesimal flat conformal deformations of $M$. We remark that the entropy of the Liouville measure increases in the direction of these deformations. We then explain a new construction of infinitesimal flat conformal deformations by bending along totally geodesic hypersurfaces of $M$ which allows us to extend a theorem of L. Flaminio.

Type
Research Article
Copyright
© 2000 Cambridge University Press

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