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

Masayuki Asaoka

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

Dynamical Systems 2011-09-12 v2 Geometric Topology

Authors: Masayuki Asaoka

Abstract

We give complete classification of C^2-regular and non-degenerate projectively Anosov flows on three dimensional manifolds. More precisely, we prove that such a flow on a connected manifold must be either an Anosov flow or represented as a finite union of $T^2 \times [0,1]$ -models.

Keywords

projectively anosov flows three dimensional manifolds classification non-degenerate c^2-regular anosov flows t^2 x [0,1]-models

Cite

@article{arxiv.math/0305372,
  title  = {Classification of regular and non-degenerate projectively Anosov flows on three dimensional manifolds},
  author = {Masayuki Asaoka},
  journal= {arXiv preprint arXiv:math/0305372},
  year   = {2011}
}

Comments

8 pages, 2 figures. To appear in J. Math. Kyoto. Univ

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