Infinitesimal rigidity and flexibility of a non-symmetric affine connection space
type: Item
instance of: scholarly article
title: Infinitesimal rigidity and flexibility of a non-symmetric affine connection space
zbMATH Open document ID: 1194.53016
author: Ljubica S. Velimirović
author: Svetislav M. Mincic
author: Mića S. Stanković
published in: European Journal of Combinatorics
publication date: 2010-05-28T00:00:00Z
review text: A geometric magnitude (object) \(A\) is called rigid or invariant under the infinitesimal transformation \(\bar x^i=x^i+\varepsilon z^i(x)\) if \(\bar A=A\), and flexible if \(\bar A\neq A\). The authors consider an affine (linear) connection (over a manifold \(M\)) with non-symmetric coefficients, and investigate the rigidity of this connection and its five curvature tensors by means of the Lie derivatives. They give explicit expressions of these Lie derivatives, and they obtain necessary and sufficient conditions for the rigidity.
reviewed by: Lajos Tamássy
Mathematics Subject Classification ID: 53B05
Mathematics Subject Classification ID: 53C05
zbMATH DE Number: 5713508
zbMATH Keywords: infinitesimal rigidity
zbMATH Keywords: non-symmetric affine connection
MaRDI profile type: Publication
full work available at URL: j.ejc.2009.10.001
OpenAlex ID: W2005002156
Wikidata QID: Q125881607
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DOI: 10.1016/J.EJC.2009.10.001
description: scientific article; zbMATH DE number 5713508