English

Regular projectively Anosov flows on three-dimensional manifolds

Dynamical Systems 2011-09-12 v4 Geometric Topology

Abstract

We give the complete classification of regular projectively Anosov flows on closed three-dimensional manifolds. More precisely, we show that such a flow must be either an Anosov flow or decomposed into a finite union of T2×IT^2 \times I-models. We also apply our method to rigidity problems of some group actions.

Keywords

Cite

@article{arxiv.math/0504208,
  title  = {Regular projectively Anosov flows on three-dimensional manifolds},
  author = {Masayuki Asaoka},
  journal= {arXiv preprint arXiv:math/0504208},
  year   = {2011}
}

Comments

28 pages, no figures