English

The cohomological equation for partially hyperbolic diffeomorphisms

Dynamical Systems 2008-09-30 v2 Geometric Topology

Abstract

We establish a theory for the existence and regularity of solutions to the cohomological equation over an accessible, partially hyperbolic diffeomorphism. As a by-product of our techniques, we show that for r>1r>1, any CrC^r homogeneous, locally compact submanifold of a CrC^r manifold is in fact a CrC^r submanifold.

Keywords

Cite

@article{arxiv.0809.4862,
  title  = {The cohomological equation for partially hyperbolic diffeomorphisms},
  author = {Amie Wilkinson},
  journal= {arXiv preprint arXiv:0809.4862},
  year   = {2008}
}

Comments

94 pages, 8 figures

R2 v1 2026-06-21T11:25:01.263Z