Open Access
Oct. 2002 Invariants of two dimensional projectively Anosov diffeomorphisms
Masayuki Asaoka
Proc. Japan Acad. Ser. A Math. Sci. 78(8): 161-165 (Oct. 2002). DOI: 10.3792/pjaa.78.161

Abstract

We define invariants of two dimensional projectively Anosov diffeomorphisms. More precisely, we show the space of circles tangent to the invariant subbundle has a kind of Morse decomposition and the homotopy type of its one point compactification is preserved under any homotopy of projectively Anosov diffeomorphisms. We also calculate the invariants for some examples.

Citation

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Masayuki Asaoka. "Invariants of two dimensional projectively Anosov diffeomorphisms." Proc. Japan Acad. Ser. A Math. Sci. 78 (8) 161 - 165, Oct. 2002. https://doi.org/10.3792/pjaa.78.161

Information

Published: Oct. 2002
First available in Project Euclid: 23 May 2006

zbMATH: 1024.37021
MathSciNet: MR1935574
Digital Object Identifier: 10.3792/pjaa.78.161

Subjects:
Primary: 37D30
Secondary: 37B30 , 37C15 , 37E30

Keywords: dominated splittings , projectively Anosov systems

Rights: Copyright © 2002 The Japan Academy

Vol.78 • No. 8 • Oct. 2002
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