Year: 2026
Type: preprint
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.
Source: arXiv (Cornell University)
Author: Elgendi, Salah G.
Institution: Islamic University of Madinah
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7167911360