arXiv:0809.4862 Abstract | arXiv Analytics

arXiv:0809.4862 [math.DS]Abstract References Reviews Resources

The cohomological equation for partially hyperbolic diffeomorphisms

Published 2008-09-29Version 2

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.

Comments: 94 pages, 8 figures

Categories: math.DS, math.GT

Subjects: 37C15, 37D30

Keywords: partially hyperbolic diffeomorphism, cohomological equation, locally compact submanifold, by-product, techniques

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