Solutions for the Landsberg unicorn problem in Finsler geometry

نویسندگان

چکیده

It is still a long-standing open problem in Finsler geometry, there any regular Landsberg metric which not Berwaldian. However, are non-regular metrics The known examples established by G. S. Asanov and Z. Shen. In this paper, we use the Maple program to study some explicit of non-Berwaldian metrics. fact, such kinds very tedious complicated investigate. Nonetheless, packages simplify calculations. Depending on these examples, manage figure out geometric properties geodesic spray metric. Deforming specific way, using metrizability tools deformed spray, get new (very simple) Moreover, power procedure consists investigating simple useful formula for general class obtained

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ژورنال

عنوان ژورنال: Journal of Geometry and Physics

سال: 2021

ISSN: ['1879-1662', '0393-0440']

DOI: https://doi.org/10.1016/j.geomphys.2020.103918