| The cohomological equation for partially hyperbolic diffeomorphisms (2008) | |||||||||
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 $r>1$, any $C^r$ homogeneous, locally compact submanifold of a $C^r$ manifold is in fact a $C^r$ submanifold.. Comment: 94 pages, 8 figures | |||||||||
Publication details | |||||||||
| |||||||||