Invariants of two dimensional projectively Anosov diffeomorphisms
Asaoka, Masayuki
Proc. Japan Acad. Ser. A Math. Sci., Tome 78 (2002) no. 10, p. 161-165 / Harvested from Project Euclid
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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.
Publié le : 2002-10-14
Classification:  Projectively Anosov systems,  dominated splittings,  37D30,  37B30,  37C15,  37E30 
@article{1148392612,
     author = {Asaoka, Masayuki},
     title = {Invariants of two dimensional projectively Anosov diffeomorphisms},
     journal = {Proc. Japan Acad. Ser. A Math. Sci.},
     volume = {78},
     number = {10},
     year = {2002},
     pages = { 161-165},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1148392612}
}

Asaoka, Masayuki. Invariants of two dimensional projectively Anosov diffeomorphisms. Proc. Japan Acad. Ser. A Math. Sci., Tome 78 (2002) no. 10, pp.  161-165. http://gdmltest.u-ga.fr/item/1148392612/