Area functionals and Godbillon-Vey cocycles
type: Item
instance of: scholarly article
title: Area functionals and Godbillon-Vey cocycles
zbMATH Open document ID: 0759.57019
author: Takashi Tsuboi
publication date: 1993-02-08T00:00:00Z
full work available at URL: http://www.numdam.org/item
full work available at URL: https://eudml.org/doc/74960
review text: 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.
Mathematics Subject Classification ID: 57R32
Mathematics Subject Classification ID: 57R30
Mathematics Subject Classification ID: 58H10
Mathematics Subject Classification ID: 26A45
Mathematics Subject Classification ID: 26B15
zbMATH DE Number: 118274
zbMATH Keywords: Godbillon-Vey 2-dimensional cohomology class
zbMATH Keywords: group of diffeomorphisms of the circle
zbMATH Keywords: area functionals
zbMATH Keywords: Lipschitz homeomorphisms of the circle
zbMATH Keywords: Godbillon-Vey class
MaRDI profile type: Publication
OpenAlex ID: W2325002244
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DOI: 10.5802/AIF.1298
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published in: Annales de l’institut Fourier
description: scientific article; zbMATH DE number 118274