Title: A new method for constructing Anosov Lie algebras
Authors: DerĂ©, Jonas # ×
Issue Date: Jun-2015
Publisher: American Mathematical Society
Series Title: Transactions of the American Mathematical Society vol:368 pages:1497-1516
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.
ISSN: 0002-9947
Publication status: accepted
KU Leuven publication type: IT
Appears in Collections:Mathematics, Campus Kulak Kortrijk
× corresponding author
# (joint) last author

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