Conformal transformation in Finsler spaces with an (\(\alpha\) ,\(\beta\) ) metric
type: Item
instance of: scholarly article
title: Conformal transformation in Finsler spaces with an (\(\alpha\) ,\(\beta\) ) metric
zbMATH Open document ID: 0623.53014
author: B. George
published in: Indian Journal of Pure \& Applied Mathematics
publication date: 1987-01-01T00:00:00Z
review text: The notion of a Finsler space \(F_ n\) with an (\(\alpha\),\(\beta)\)-metric was introduced by \textit{C. Shibata} [J. Hokkaido Univ. Educ. 35, 1-16 (1984)]. In the present paper, the authors study the conformal transformations in these spaces. The authors discuss the properties of Berwald, Landsberg and locally Minkowskian Finsler spaces \(F_ n\) and \(\bar F{}_ n\) which are conformally related, and also establish a correspondence between the curvature tensors of \(F_ n\) and \(\bar F{}_ n\).
Mathematics Subject Classification ID: 53B40
zbMATH DE Number: 4011364
zbMATH Keywords: Finsler space
zbMATH Keywords: conformal transformations
reviewed by: Om Prakash Singh
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 4011364