Invariants of two dimensional projectively Anosov diffeomorphisms

Masayuki Asaoka

doi:10.3792/pjaa.78.161

Translator Disclaimer

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

Download Citation

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