Characterization of Finsler Spaces of Scalar Curvature
Nabil L. Youssef, A. Soleiman
TL;DR
This paper provides an intrinsic analysis of special Finsler spaces related to scalar and constant curvature, offering characterizations and conditions for their equivalence, advancing the understanding of Finsler geometry.
Contribution
It introduces new characterizations of Finsler spaces of scalar curvature and establishes conditions for these spaces to have constant curvature.
Findings
Characterizations of Finsler spaces of scalar curvature
Necessary and sufficient conditions for constant curvature
Insights into the structure of Finsler spaces related to Berwald connection
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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Taxonomy
TopicsAdvanced Differential Geometry Research