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Publication
Bulletin of the Brazilian Mathematical Society
Paper
Stable ergodicity in homogeneous spaces
Abstract
In this paper we prove that in the context of homogeneous spaces G/B which satisfy a certain admissibility requirement, stable ergodicity of an affine diffeomorphism implies that there is some hyperbolicity. Indeed, HB = G where H is the hyperbolically generated subgroup of G. © 1997, Sociedade Brasileira de Matemática.