On cubic Berwald spaces
Nicoleta Brinzei
TL;DR
This paper investigates Finsler spaces with cubic metrics, establishing that Landsberg spaces are Berwaldian and identifying conditions under which decomposable cubic metric spaces are Berwaldian.
Contribution
It proves Landsberg spaces with cubic metrics are Berwaldian and refines conditions for decomposable cubic metric spaces to be Berwaldian.
Findings
Landsberg spaces with cubic metrics are Berwaldian
Conditions for decomposable cubic metric spaces to be Berwaldian
Refinement of previous results on cubic Berwald spaces
Abstract
We show that, for Finsler spaces with cubic metric, Landsberg spaces are Berwaldian. Also, for decomposable metrics, we determine specific conditions for a space with cubic metric to be of Berwald type, thus refining the result in [6].
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Taxonomy
TopicsAdvanced Differential Geometry Research