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arXiv · 2610.37241

On Landsberg Unicorns of General $(α,β)$-Type

Salah G. Elgendi
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Abstract

In this paper, we investigate the classes of \lq\lq unicorns" of general $(α,β)$-metric types, namely, Landsberg general $(α,β)$-metrics that are non-Berwaldian. We provide explicit solutions for these metrics, including several new classes. Furthermore, we identify and exclude the cases that yield degenerate metrics to guarantee the geometric validity of the established solutions.

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Salah G. Elgendi. 2026-10-27. On Landsberg Unicorns of General $(α,β)$-Type. https://arxiv.org/abs/2610.37241

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