Area functionals and Godbillon-Vey cocycles

Takashi Tsuboi

Annales de l'institut Fourier (1992)

  • Volume: 42, Issue: 1-2, page 421-447
  • ISSN: 0373-0956

Abstract

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We investigate the natural domain of definition of the Godbillon-Vey 2- dimensional cohomology class of the group of diffeomorphisms of the circle. We introduce the notion of area functionals on a space of functions on the circle, we give a sufficiently large space of functions with nontrivial area functional and we give a sufficiently large group of Lipschitz homeomorphisms of the circle where the Godbillon-Vey class is defined.

How to cite

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Tsuboi, Takashi. "Area functionals and Godbillon-Vey cocycles." Annales de l'institut Fourier 42.1-2 (1992): 421-447. <http://eudml.org/doc/74960>.

@article{Tsuboi1992,
abstract = {We investigate the natural domain of definition of the Godbillon-Vey 2- dimensional cohomology class of the group of diffeomorphisms of the circle. We introduce the notion of area functionals on a space of functions on the circle, we give a sufficiently large space of functions with nontrivial area functional and we give a sufficiently large group of Lipschitz homeomorphisms of the circle where the Godbillon-Vey class is defined.},
author = {Tsuboi, Takashi},
journal = {Annales de l'institut Fourier},
keywords = {Godbillon-Vey 2-dimensional cohomology class; group of diffeomorphisms of the circle; area functionals; Lipschitz homeomorphisms of the circle; Godbillon-Vey class},
language = {eng},
number = {1-2},
pages = {421-447},
publisher = {Association des Annales de l'Institut Fourier},
title = {Area functionals and Godbillon-Vey cocycles},
url = {http://eudml.org/doc/74960},
volume = {42},
year = {1992},
}

TY - JOUR
AU - Tsuboi, Takashi
TI - Area functionals and Godbillon-Vey cocycles
JO - Annales de l'institut Fourier
PY - 1992
PB - Association des Annales de l'Institut Fourier
VL - 42
IS - 1-2
SP - 421
EP - 447
AB - We investigate the natural domain of definition of the Godbillon-Vey 2- dimensional cohomology class of the group of diffeomorphisms of the circle. We introduce the notion of area functionals on a space of functions on the circle, we give a sufficiently large space of functions with nontrivial area functional and we give a sufficiently large group of Lipschitz homeomorphisms of the circle where the Godbillon-Vey class is defined.
LA - eng
KW - Godbillon-Vey 2-dimensional cohomology class; group of diffeomorphisms of the circle; area functionals; Lipschitz homeomorphisms of the circle; Godbillon-Vey class
UR - http://eudml.org/doc/74960
ER -

References

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