Canonical connections of Finsler metrics and Finslerian connections on Riemannian metrics
type: Item
instance of: scholarly article
title: Canonical connections of Finsler metrics and Finslerian connections on Riemannian metrics
zbMATH Open document ID: 0860.53014
DOI: 10.1007/BF02105087
published in: General Relativity and Gravitation
publication date: 1996-06-11T00:00:00Z
review text: A procedure of associating a canonical connection to a given Finsler metric is described; the connections which are compatible with the metric are compared both to this connection and to the corresponding Cartan connection. A necessary and sufficient condition for a Finsler connection to be compatible with a Riemannian metric is given. Implications of the obtained results for the construction of Finslerian relativities and of Finslerian physical theories containing a Riemannian gravitational sector are also provided.
reviewed by: Vladimir Balan
Mathematics Subject Classification ID: 53B40
Mathematics Subject Classification ID: 83D05
Mathematics Subject Classification ID: 53Z05
zbMATH DE Number: 887107
zbMATH Keywords: torsion
zbMATH Keywords: Finslerian connection
zbMATH Keywords: Finsler metric
zbMATH Keywords: Cartan connection
author: José G. Vargas
author: D. G. Torr
Wikidata QID: Q115392772
MaRDI profile type: Publication
cites work: Q4756082
cites work: Finslerian structures: The Cartan–Clifton method of the moving frame
cites work: The cornerstone role of the torsion in Finslerian physical worlds
full work available at URL: https://doi.org/10.1007/bf02105087
OpenAlex ID: W1989755445
description: scientific article; zbMATH DE number 887107