Equivariant hyperbolic diffeomorphisms and representation coverings
Differential Geometry
2013-07-02 v1 Dynamical Systems
Abstract
Let G be a compact Lie group and X be a compact smooth G-manifold with finitely many G-fixed points. We show that if X admits a G-equivariant hyperbolic diffeomorphism having a certain convergence property, there exists an open covering of X indexed by the G-fixed points so that each open set is G-stable and G-equivariantly diffeomorphic to the tangential G-representation at the corresponding G-fixed point. We also show that the converse is also true in case of holomorphic torus actions
Cite
@article{arxiv.1307.0333,
title = {Equivariant hyperbolic diffeomorphisms and representation coverings},
author = {Hitoshi Yamanaka},
journal= {arXiv preprint arXiv:1307.0333},
year = {2013}
}
Comments
20 pages