$C^1$ Pesin (un)stable manifold without domination

Abstract

For $C^1$ diffeomorphisms with continuous invariant splitting without domination, we prove the existence of (un)stable manifold under the hyperbolicity of invariant measures.

References in corpus (1)

• The $C^{1+\alpha }$ hypothesis in Pesin theory revisited

Cited by in corpus (1)

• Physical measures for mostly sectional expanding flows