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- W2963220873 abstract "It is conjectured that every closed manifold admitting an Anosov diffeomorphism is, up to homeomorphism, finitely covered by a nilmanifold. Motivated by this conjecture, an important problem is to determine which nilmanifolds admit an Anosov diffeomorphism. The main theorem of this article gives a general method for constructing Anosov diffeomorphisms on nilmanifolds. As a consequence, we give new examples which were overlooked in a corollary of the classification of low-dimensional nilmanifolds with Anosov diffeomorphisms and a correction to this statement is proven. This method also answers some open questions about the existence of Anosov diffeomorphisms which are minimal in some sense." @default.
- W2963220873 created "2019-07-30" @default.
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- W2963220873 date "2015-06-15" @default.
- W2963220873 modified "2023-10-14" @default.
- W2963220873 title "A new method for constructing Anosov Lie algebras" @default.
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- W2963220873 doi "https://doi.org/10.1090/tran6655" @default.
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