Classification of regular and non-degenerate projectively Anosov flows on three-dimensional manifolds

Asaoka, Masayuki

J. Math. Kyoto Univ., Tome 46 (2006) no. 4, p. 349-356 / Harvested from Project Euclid

Résumé

We give a classification of $C^{2}$-regular and non-degenerate projectively Anosov flows on three-dimensional manifolds. More precisely, we prove that such a flow must be either an Anosov flow or represented as a finite union of $\mathbb{T}^{2} \times I$-models.

Publié le : 2006-05-15
Classification: 37D30, 37E99, 57R30

@article{1250281780,
     author = {Asaoka, Masayuki},
     title = {Classification of regular and non-degenerate projectively Anosov flows on three-dimensional manifolds},
     journal = {J. Math. Kyoto Univ.},
     volume = {46},
     number = {4},
     year = {2006},
     pages = { 349-356},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1250281780}
}

Asaoka, Masayuki. Classification of regular and non-degenerate projectively Anosov flows on three-dimensional manifolds. J. Math. Kyoto Univ., Tome 46 (2006) no. 4, pp.  349-356. http://gdmltest.u-ga.fr/item/1250281780/