Affine motion in RNP-Finsler space
type: Item
instance of: scholarly article
title: Affine motion in RNP-Finsler space
zbMATH Open document ID: 0544.53021
author: N. E. Zubov
published in: Indian Journal of Pure \& Applied Mathematics
publication date: 1984-01-01T00:00:00Z
review text: An NP-recurrent Finsler space is a Finsler space whose normal projective curvature tensor \(N^ i_{jkh}\) is recurrent. The authors call RNP- Finsler space an NP-recurrent Finsler space endowed with an infinitesimal transformation defined by a vector v and satisfying \(L_ v\lambda_ s=0\), where \(\lambda_ s\) is the recurrence covector and \(L_ v\) means the Lie derivative with respect to v. Various properties of RNP-Finsler spaces are proved. For example, the condition under which \(L_ vN^ i_{jkh}\equiv 0\) and a necessary and sufficient condition for the existence of an affine motion are established.
Mathematics Subject Classification ID: 53B40
zbMATH DE Number: 3866112
zbMATH Keywords: NP-recurrent Finsler space
zbMATH Keywords: infinitesimal transformation
zbMATH Keywords: affine motion
reviewed by: Mihai Anastasiei
MaRDI profile type: Publication
Recommended article: Q3530485
Recommended article: Q5405630
Recommended article: Q4853028
Recommended article: Q3574461
Recommended article: Q4727796
Recommended article: Motions and affine motions in Finsler, Randers and Kropina spaces
Recommended article: Q4882421
Recommended article: Q3827192
Recommended article: Q4256852
Recommended article: Q4441211
description: scientific article; zbMATH DE number 3866112