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Pseudo-Finsler Radially Symmetric Spaces
- 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.
- Subjects :
- Finsler symmetric spaces
parallel transport
flag curvature
Mathematics
QA1-939
Subjects
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