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Stably ergodic diffeomorphisms which are not partially hyperbolic

机译:稳定遍历的变态,不是部分双曲的

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摘要

We show stable ergodicity of a class of conservative diffeomorphisms of T-n which do not have any hyperbolic invariant subbundle. Moreover, the uniqueness of SRB (Sinai-Ruelle-Bowen) measure for non-conservative C-1 perturbations of such diffeomorphisms is verified. This class strictly contains non-partially hyperbolic robustly transitive diffeomorphisms constructed by Bonatti-Viana [4] and so we answer the question posed there on the stable ergodicity of such systems.
机译:我们显示T-n的一类保守微分形的稳定遍历性,它没有任何双曲不变子束。此外,证实了SRB(Sinai-Ruelle-Bowen)测度对这种变态的非保守C-1扰动的唯一性。该类严格包含由Bonatti-Viana [4]构造的非局部双曲鲁棒传递微分,因此我们回答了关于此类系统的稳定遍历性的问题。

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