General (α, β)-metrics with constant Ricci and flag curvature

Document Type : Original Article

Author

Department of Industrial Engineering, Antalya Bilim University Ciplakl Mahallesi Farabi Caddesi No: 23, Dösemealt, Antalya, 07190, Turkey

Abstract

General (α, β) metrics form a rich and important class of metrics. Many well-known Finsler metrics of constant flag curvature can be locally expressed as a general (α, β) metrics. In this paper, we study the general (α, β) metrics with constant Ricci curvature (tensor) and constant flag curvature. Moreover we study the vanishing non-Riemannian quantity χ-curvature.

Keywords

References

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Journal of Finsler Geometry and its Applications
Volume 3, Issue 2
December 2022
Pages 78-90

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