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Spherically symmetric Finsler metrics satisfying the σT-condition
Abstract
In this paper, we present a complete characterization of spherically symmetric Finsler metrics that satisfy the σT-condition. We further investigate the subclass of such metrics within the Landsberg category and identify the precise conditions under which spherically symmetric Finsler metrics satisfying the T-condition must also be Berwaldian. In addition, we construct new non-regular solutions to the classical unicorn problem, providing explicit examples of Landsberg metrics that are not Berwaldian.
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BibTeX
@misc{elgendi2026spherically,
title = {{Spherically symmetric Finsler metrics satisfying the $σ$T-condition}},
author = {Salah G. Elgendi},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2607.08217},
eprint = {2607.08217},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2607.08217},
}
RIS
TY - UNPB
TI - Spherically symmetric Finsler metrics satisfying the σT-condition
AU - Salah G. Elgendi
PY - 2026
DA - 2026/09/01
PB - arXiv
DO - 10.48550/arxiv.2607.08217
UR - https://arxiv.org/abs/2607.08217
AB - In this paper, we present a complete characterization of spherically symmetric Finsler metrics that satisfy the σT-condition. We further investigate the subclass of such metrics within the Landsberg category and identify the precise conditions under which spherically symmetric Finsler metrics satisfying the T-condition must also be Berwaldian. In addition, we construct new non-regular solutions to the classical unicorn problem, providing explicit examples of Landsberg metrics that are not Berwaldian.
ER -