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Pseudo-Finsler Radially Symmetric Spaces

Authors :
Marianty Ionel
Miguel Ángel Javaloyes
Source :
Symmetry, Vol 16, Iss 3, p 362 (2024)
Publication Year :
2024
Publisher :
MDPI AG, 2024.

Abstract

We introduce the concept of radially symmetric pseudo-Finsler spaces, which generalize the notion of symmetric Finsler spaces, and prove that this concept is equivalent to the preservation of flag curvature by parallel transport together with reversibility. As a consequence, reversible pseudo-Finsler manifolds with constant flag curvature are radially symmetric.

Details

Language :
English
ISSN :
16030362 and 20738994
Volume :
16
Issue :
3
Database :
Directory of Open Access Journals
Journal :
Symmetry
Publication Type :
Academic Journal
Accession number :
edsdoj.17b7e71045dd489db0855ed7a6c515fb
Document Type :
article
Full Text :
https://doi.org/10.3390/sym16030362