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arXiv · 2607.08217

Spherically symmetric Finsler metrics satisfying the $\sigma$T-condition

Salah G. Elgendi
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Abstract

In this paper, we present a complete characterization of spherically symmetric Finsler metrics that satisfy the $\sigma T$-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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Salah G. Elgendi. 2026-07-09. Spherically symmetric Finsler metrics satisfying the $\sigma$T-condition. https://arxiv.org/abs/2607.08217

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