Regular projectively Anosov flows on three-dimensional manifolds

Masayuki Asaoka[1]

  • [1] Kyoto University Department of Mathematics Kitashirakawa Oiwakecho, Sakyo-ku 606-8502 Kyoto (Japan)

Annales de l’institut Fourier (2010)

  • Volume: 60, Issue: 5, page 1649-1684
  • ISSN: 0373-0956

Abstract

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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 × I -models. We also apply our method to rigidity problems of some group actions.

How to cite

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Asaoka, Masayuki. "Regular projectively Anosov flows on three-dimensional manifolds." Annales de l’institut Fourier 60.5 (2010): 1649-1684. <http://eudml.org/doc/116318>.

@article{Asaoka2010,
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 $T^2 \times I$-models. We also apply our method to rigidity problems of some group actions.},
affiliation = {Kyoto University Department of Mathematics Kitashirakawa Oiwakecho, Sakyo-ku 606-8502 Kyoto (Japan)},
author = {Asaoka, Masayuki},
journal = {Annales de l’institut Fourier},
keywords = {Projectively Anosov flows; bi-contact structures; projectively Anosov flows},
language = {eng},
number = {5},
pages = {1649-1684},
publisher = {Association des Annales de l’institut Fourier},
title = {Regular projectively Anosov flows on three-dimensional manifolds},
url = {http://eudml.org/doc/116318},
volume = {60},
year = {2010},
}

TY - JOUR
AU - Asaoka, Masayuki
TI - Regular projectively Anosov flows on three-dimensional manifolds
JO - Annales de l’institut Fourier
PY - 2010
PB - Association des Annales de l’institut Fourier
VL - 60
IS - 5
SP - 1649
EP - 1684
AB - 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.
LA - eng
KW - Projectively Anosov flows; bi-contact structures; projectively Anosov flows
UR - http://eudml.org/doc/116318
ER -

References

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