On the global rigidity of split Anosov Rn-actions

Shigenori MATSUMOTO

doi:10.2969/jmsj/1196890840

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Home > Journals > J. Math. Soc. Japan > Volume 55 > Issue 1 > Article

January, 2003 On the global rigidity of split Anosov

R^{n}

-actions

Shigenori MATSUMOTO

J. Math. Soc. Japan 55(1): 39-46 (January, 2003). DOI: 10.2969/jmsj/1196890840

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Abstract

We show that a so called split Anosov $R^{n}$ -action on a closed oriented $(2n+1)$ -dimensional manifold is $C^{\infty}$ conjugate to the suspension of a split hyperbolic alfine representation of $Z^{n}$ on the $(n+1)$ -dimensional torus.

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Shigenori MATSUMOTO. "On the global rigidity of split Anosov $R^{n}$ -actions." J. Math. Soc. Japan 55 (1) 39 - 46, January, 2003. https://doi.org/10.2969/jmsj/1196890840

Information

Published: January, 2003

First available in Project Euclid: 5 December 2007

zbMATH: 1162.37313

MathSciNet: MR1939183

Digital Object Identifier: 10.2969/jmsj/1196890840

Subjects:

Primary: 37D20

Secondary: 57R30

Keywords: (un)stable foliation , codimension one Anosov diffeomorphism , hyperbolic toral automorphism , orbit foliation of a locally free Lie group action , split Anosov $R^{n}$-action

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