Abstract
In this paper we prove that in the context of homogeneous spacesG/B which satisfy a certain admissibility requirement, stable ergodicity of an affine diffeomorphism implies that there is some hyperbolicity. Indeed,\(\overline {HB} = G\) whereH is the hyperbolically generated subgroup ofG.
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Dedicated to the memory of Ricardo Mañé
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Brezin, J., Shub, M. Stable ergodicity in homogeneous spaces. Bol. Soc. Bras. Mat 28, 197–210 (1997). https://doi.org/10.1007/BF01233391
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DOI: https://doi.org/10.1007/BF01233391