The Finsler surface with K=0 and J=0
Linfeng Zhou
TL;DR
This paper confirms the existence of a specific type of Finsler surface with zero flag curvature and singularities that is not Berwaldian, addressing a claim by R. Bryant.
Contribution
It verifies R. Bryant's claim about the existence of singular Landsberg Finsler surfaces with zero flag curvature that are not Berwaldian.
Findings
Existence of singular Landsberg Finsler surfaces with K=0 and J=0
Counterexample to the assumption that such surfaces must be Berwaldian
Addresses a specific claim in Finsler geometry
Abstract
In this short note, we verify R. Bryant's claim: there does exist the singular Landsberg Finsler surface with a vanishing flag curvature which is not Berwaldian.
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Taxonomy
TopicsAdvanced Differential Geometry Research