A symmetric Finsler space with Chern connection
Dariush Latifi, Asadollah Razavi
TL;DR
This paper introduces a symmetry concept for Finsler spaces equipped with Chern connection, explores its properties, and examines its relationship with flag curvature, contributing to the understanding of geometric structures in Finsler geometry.
Contribution
It defines a new symmetry notion for Finsler spaces with Chern connection and analyzes its properties and relation to flag curvature.
Findings
Established a relation between symmetry and flag curvature.
Characterized properties of the defined symmetry in Finsler spaces.
Provided insights into the geometric structure of Finsler spaces with Chern connection.
Abstract
We define a symmetry for a Finsler space with Chern connection and investigate its implementation and properties and find a relation between them and flag curvature.
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Taxonomy
TopicsAdvanced Differential Geometry Research