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2 results for “Berwaldain”

A new look at Finsler surfaces and the Landsberg's PDEmath.DG

Solves a PDE for Landsberg surfaces using new Finsler surface insights.

problem Solving the Landsberg's PDE for Finsler surfaces.

method Reduces the system of non-linear PDEs to a single PDE, the Landsberg's PDE, and solves it.

result Obtains a class of solutions for the Landsberg's PDE.

Finsler surfaces Landsberg's PDE Berwaldain non-linear PDEs

2022-08-07abs ↗pdf ↗

Solutions for the Landsberg unicorn problem in Finsler geometrymath.DG

It is still a long-standing open problem in Finsler geometry, is there any regular Landsberg metric which is not Berwaldian. However, there are non-regular Landsberg metrics which are not Berwladian. The known examples are established by G. S. Asanov and Z. Shen. In this paper, we use the Maple program to study some ex…

2019-08-28abs ↗pdf ↗