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General (α, β)-Metrics With Constant Ricci and Flag Curvature

Publish place: Journal of Finsler geometry and its applications، Vol: 3، Issue: 2
Publish Year: 1401
نوع سند: مقاله ژورنالی
زبان: English
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لینک ثابت به این Paper:
https://civilica.com/doc/1814713

شناسه ملی سند علمی:

JR_JFGA-3-2_009

تاریخ نمایه سازی: 18 آبان 1402

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:

General (α , β) metrics , Constant Ricci curvature , Constant flag curvature , χ-curvature

Authors

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Department of Industrial Engineering, Antalya Bilim University Ciplakl Mahallesi Farabi Caddesi No: ۲۳, Dösemealt, Antalya, ۰۷۱۹۰, Turkey