A geometric criterion for the non-uniform hyperbolicity of the Kontsevich--Zorich cocycle      geometric criterion  non-uniform hyperbolicity  Kontsevich--Zorich cocycle        font style='font-size:12px;'> 2010/12/10

We prove a geometric criterion on a SL(2,R)-invariant ergodic probability measure on the moduli space of holomorphic abelian differentials on Riemann surfaces for the non-uniform hyperbolicity of the ...

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Gromov Hyperbolicity of Riemann Surfaces     Gromov hyperbolicity  Hyperbolic Riemann surface       font style='font-size:12px;'> 2007/12/12

We study the hyperbolicity in the Gromov sense of Riemann surfaces. We deduce the hyperbolicity of a surface from the hyperbolicity of its ``building block components". We also prove the equivalence b...

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