On projective \(N\)-curvature inheritance
type: Item
instance of: scholarly article
title: On projective \(N\)-curvature inheritance
zbMATH Open document ID: 1299.53060
published in: Acta Mathematica Hungarica
publication date: 2012-09-17T00:00:00Z
review text: Curvature inheritance is an infinitesimal transformation with respect to which the Lie derivative of the curvature tensor is proportional with itself. Thus a curvature inheritance is a Lie recurrence. The authors prove that an infinitesimal transformation in a Finsler space is a Lie recurrence if and only if the normal projective curvature tensor \(N\) is Lie recurrent: \(\mathcal{L}N=\Phi N\), where \(\Phi\) is a scalar function independent of the directional argument.
reviewed by: Lajos Tamássy
Mathematics Subject Classification ID: 53B40
zbMATH DE Number: 6083181
zbMATH Keywords: Finsler space
zbMATH Keywords: Lie recurrence
zbMATH Keywords: projective curvature inheritance
zbMATH Keywords: projective \(N\)-curvature inheritance
author: P. N. Pandey
author: Shivalika Saxena
MaRDI profile type: Publication
full work available at URL: s10474-011-0184-1
OpenAlex ID: W2002783251
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DOI: 10.1007/S10474-011-0184-1
description: scientific article; zbMATH DE number 6083181