The cohomological equation for partially hyperbolic diffeomorphisms

Details The cohomological equation for partially hyperbolic diffeomorphisms The cohomological equation for partially hyperbolic diffeomorphisms

2008-09-29

arxiv.org/abs/0809.4862v2

Mathematics

Dynamical Systems

94 pages, 8 figures

Scientific paper

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 $r>1$, any $C^r$
homogeneous, locally compact submanifold of a $C^r$ manifold is in fact a $C^r$
submanifold.

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