Cocycles, symplectic structures and intersection

Details Cocycles, symplectic structures and intersection Cocycles, symplectic structures and intersection

1997-10-09

arxiv.org/abs/dg-ga/9710009v1

Mathematics

Differential Geometry

33 pages, Tex

Scientific paper

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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