Mathematics > Differential Geometry
[Submitted on 13 Nov 2025]
Title:Generalized Berwald Projective Weyl metrics
View PDF HTML (experimental)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.
Submission history
From: Nasrin Sadeghzadeh Dr. [view email][v1] Thu, 13 Nov 2025 05:01:47 UTC (24 KB)
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