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Characterization of Finsler Spaces of Scalar Curvature

2014/05/07 by Nabil L. Youssef, Youssef, Nabil L., A. Soleiman +1
Mathematics · Physics and Astronomy · #53B40 #53C60 #Advanced Differential Geometry Research #Differential Geometry (math.DG) #FOS: Mathematics #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #gr-qc #math.DG #msc:53B40 #msc:53C60

paper · pdf · doi:10.48550/arxiv.1405.1556

LaTeX file, 10 pages

arxiv created 2014/05/07 · openalex publication_date 2014/05/07 · arxiv updated 2014/05/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The aim of the present paper is to provide an intrinsic investigation of two special Finsler spaces whose defining properties are related to Berwald connection, namely, Finsler space of scalar curvature and of constant curvature. Some characterizations of a Finsler space of scalar curvature are proved. Necessary and sufficient conditions under which a Finsler space of scalar curvature reduces to a Finsler space of constant curvature are investigated.

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