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Cocycles, symplectic structures and intersection

Ursula Hamenstaedt
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Abstract

We investigate the cross ratio for closed negatively curved manifolds. As one of several applications, we obtain that for two such homotopy equivalent manifolds M and N, the following is true : If M and N have the same marked length spectrum and if the Anosov splitting for M is C^1 then M and N have the same volume.

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Ursula Hamenstaedt. 1997-10-09. Cocycles, symplectic structures and intersection. https://arxiv.org/abs/dg-ga/9710009

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