Bi-algébroïdes de Lie des variétés CRF généralisées

Translated title of the contribution: Lie bialgebroids of generalized CRF-manifolds

Yat Sun Poon, Aïssa Wade

Research output: Contribution to journalArticle

Abstract

The notion of a generalized CRF-structure on a smooth manifold was recently introduced and studied by Vaisman (2008) [6]. An important class of generalized CRF-structures on an odd dimensional manifold M consists of CRF-structures having complementary frames of the form ξ±η, where ξ is a vector field and η is a 1-form on M with η(ξ)=1. It turns out that these kinds of CRF-structures give rise to a special class of what we called strong generalized contact structures in Poon and Wade [5]. More precisely, we show that to any CRF-structures with complementary frames of the form ξ±η, there corresponds a canonical Lie bialgebroid. Finally, we explain the relationship between generalized contact structures and another generalization of the notion of a Cauchy-Riemann structure on a manifold.

Original languageFrench
Pages (from-to)919-922
Number of pages4
JournalComptes Rendus Mathematique
Volume348
Issue number15-16
DOIs
StatePublished - Aug 1 2010

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Contact Structure
Smooth Manifold
Cauchy
Vector Field
Odd
Form
Class
Generalization
Relationships

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

Cite this

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Bi-algébroïdes de Lie des variétés CRF généralisées. / Poon, Yat Sun; Wade, Aïssa.

In: Comptes Rendus Mathematique, Vol. 348, No. 15-16, 01.08.2010, p. 919-922.

Research output: Contribution to journalArticle

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