Finsler cases of GF-space
type: Item
instance of: scholarly article
title: Finsler cases of GF-space
zbMATH Open document ID: 0830.53018
DOI: 10.1007/BF01827943
published in: Aequationes Mathematicae
publication date: 1996-01-28T00:00:00Z
full work available at URL: https://eudml.org/doc/182485
review text: Let \((M^{N-1}, r)\) be an \((N - 1)\)-dimensional Riemannian space. The author indicates a simple way of introducing the structure of generalized Finsler space over \(M^N =\mathbb{R} \times M^{N - 1}\) together with the associated tangent bundle \(TM\) of \(M^N\), and gives a simple condition that the space will be a Finsler space \(F^N\). The indicatrix of the space \(F^N\) \((N > 4)\) is a conformally flat space. The cases where the indicatrix is of constant curvature are investigated in detail, and a simple criterion for constancy of the indicatrix curvature is given (the analytical methods of introducing metric and connection over \(TM\) are applied). Note. The Finslerian solution for the static spherically symmetric gravitational field has been obtained by the author in Semin. Mec., Univ. Timişoara 25, 50 p. (1990; Zbl 0727.53034).
Mathematics Subject Classification ID: 53B40
Mathematics Subject Classification ID: 53Z05
Mathematics Subject Classification ID: 83D05
zbMATH DE Number: 778307
zbMATH Keywords: generalized Finsler spaces
author: Gennadii S. Asanov
reviewed by: Petre Stavre
MaRDI profile type: Publication
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OpenAlex ID: W1978982958
description: scientific article; zbMATH DE number 778307