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arXiv · 2511.09968

Generalized Berwald Projective Weyl metrics

Nasrin Sadeghzadeh
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Abstract

This paper introduces a new quantity in Finsler geometry, called the generalized Berwald projective Weyl ($GB\widetilde{W}$) metric. The $C$-projective invariance of these metrics is demonstrated, and it is shown that they constitute a proper subset of the class of generalized Douglas ($GDW$) metrics. The paper also proves that all $GDW$ metrics with vanishing Landsberg curvature are of R-quadratic type. The class of $GDW$ metrics contains all Finsler metrics of scalar curvature, which provides an extension of the well-known Numata's theorem.

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Nasrin Sadeghzadeh. 2025-11-13. Generalized Berwald Projective Weyl metrics. https://doi.org/10.1007/s40010-024-00896-6

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