Local structure of generalized contact manifolds
type: Item
instance of: scholarly article
title: Local structure of generalized contact manifolds
zbMATH Open document ID: 1236.53066
author: Aïssa Wade
published in: Differential Geometry and its Applications
publication date: 2012-03-08T00:00:00Z
review text: This paper studies the geometric properties of generalized contact pairs. Let us recall that generalized complex structures were introduced to extend the theory of classical G-structures on even-dimensional manifolds. A natural question is then the problem of uncovering the odd-dimensional counterpart of a generalized complex structure. In this paper, the author investigates the geometric conditions expressing the integrability of a generalized contact pair. In order to understand the local theory for generalized contact manifolds, she proves that locally any smooth manifold endowed with a generalized contact pair is equivalent to the product of an almost cosymplectic manifold by a generalized complex manifold. An application to string theory is also mentioned.
Mathematics Subject Classification ID: 53D17
Mathematics Subject Classification ID: 17B63
zbMATH DE Number: 6013283
zbMATH Keywords: contact manifolds
zbMATH Keywords: contact pair
zbMATH Keywords: local structure
zbMATH Keywords: generalized complex structure
reviewed by: Angela Gammella-Mathieu
MaRDI profile type: Publication
full work available at URL: j.difgeo.2011.11.009
OpenAlex ID: W2013877196
Wikidata QID: Q115356744
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DOI: 10.1016/J.DIFGEO.2011.11.009
description: scientific article; zbMATH DE number 6013283