Gravity from Lie algebroid morphisms
type: Item
instance of: scholarly article
title: Gravity from Lie algebroid morphisms
zbMATH Open document ID: 1062.53068
published in: Communications in Mathematical Physics
publication date: 2004-12-16T00:00:00Z
full work available at URL: https://arxiv.org/abs/hep-th/0310168
review text: The author raises the question of finding the conditions under which it is possible to define a reasonable theory of gravity on a two-dimensional manifold. Let \(M\) be a manifold and let \(S\) be a two-dimensional manifold. After recalling the definition of Lie algebroids over \(M\), the author determines minimal conditions to be placed in order to permit an interpretation as a metric on the surface \(S\). The main result is then proved and applied to particular Lie algebroids (the standard Lie algebroid : \(TM\) and the Poisson case). Finally, the author gives a detailled outlook with open questions and interesting ideas to be developed.
Mathematics Subject Classification ID: 53D17
Mathematics Subject Classification ID: 58H05
zbMATH DE Number: 2123142
zbMATH Keywords: Lie algebroids
zbMATH Keywords: gravity
zbMATH Keywords: surface
author: Thomas Strobl
reviewed by: Angela Gammella-Mathieu
MaRDI profile type: Publication
OpenAlex ID: W1995977095
arXiv ID: hep-th/0310168
DOI: 10.1007/S00220-003-1026-Y
description: scientific article