\(C^ V\)-symmetric Finsler spaces
type: Item
instance of: scholarly article
title: \(C^ V\)-symmetric Finsler spaces
zbMATH Open document ID: 0586.53012
author: B. George
published in: Indian Journal of Pure \& Applied Mathematics
publication date: 1985-01-01T00:00:00Z
review text: A Finsler space \(F_ n\) is called \(C^ V\)-symmetric if \(C_{ijk| \ell | m}=C_{ijk| m| \ell}\), where \(C_{ijk}(x,y)\) is the Cartan torsion tensor, and \(|\) denotes the V-covariant derivation (covariant derivation by \(y^ i)\). It is shown that a C-reducible and \(C^ V\)-symmetric \(F_ n\) is a Riemannian space \(V_ n\). As a consequence of this a \(C^ V\)-symmetric Randers-, or Kropina-space is also a \(V_ n\).
Mathematics Subject Classification ID: 53B40
zbMATH DE Number: 3940153
zbMATH Keywords: Finsler space
zbMATH Keywords: \(C^ V\)-symmetric
reviewed by: Lajos Tamássy
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 3940153