English

Cocycles, symplectic structures and intersection

dg-ga 2007-05-23 v1 Differential Geometry

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.

Cite

@article{arxiv.dg-ga/9710009,
  title  = {Cocycles, symplectic structures and intersection},
  author = {Ursula Hamenstaedt},
  journal= {arXiv preprint arXiv:dg-ga/9710009},
  year   = {2007}
}

Comments

33 pages, Tex