Regular projectively Anosov flows on three-dimensional manifolds

Masayuki Asaoka

Regular projectively Anosov flows on three-dimensional manifolds

动力系统 2011-09-12 v4 几何拓扑

作者: Masayuki Asaoka

摘要

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 $T^2 \times I$ -models. We also apply our method to rigidity problems of some group actions.

关键词

anosov flows geodesic flow anosov representations

引用

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

备注

28 pages, no figures

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