CANONICAL CORRECTIONS OF FINSLER METRICS AND FINSLERIAN CONNECTIONS ON RIEMANNIAN METRICS

Authors
VARGAS JG TORR DG
Citation
Jg. Vargas et Dg. Torr, CANONICAL CORRECTIONS OF FINSLER METRICS AND FINSLERIAN CONNECTIONS ON RIEMANNIAN METRICS, General relativity and gravitation, 28(4), 1996, pp. 451-469
Citations number
11
Categorie Soggetti
Physics
Journal title
General relativity and gravitation → ACNP
ISSN journal
00017701
Volume
28
Issue
4
Year of publication
1996
Pages
451 - 469
Database
ISI
SICI code
0001-7701(1996)28:4<451:CCOFMA>2.0.ZU;2-U
Abstract
A concept of canonical connection of a Finsler metric is developed. Co nnections that are compatible with Finsler metrics are compared with t he canonical connection itself. They are also compared with the corres ponding Cartan connection. A necessary and sufficient condition on met ric Finsler connections is given for the metric to be Riemannian. This study unearths different ways in which Finsler geometry could be used to generalize the theory of general relativity.