Finsleroid-regular space. Landsberg-to-Berwald implication

Details Finsleroid-regular space. Landsberg-to-Berwald implication Finsleroid-regular space. Landsberg-to-Berwald implication

2008-01-30

arxiv.org/abs/0801.4608v1

Mathematics

Differential Geometry

Scientific paper

By performing required evaluations, we show that in the Finsleroid-regular space the Landsberg-space condition just degenerates to the Berwald-space condition (at any dimension number $N\ge2$). Simple and clear expository representations are obtained. Due comparisons with the Finsleroid-Finsler space are indicated. Keywords: Finsler metrics, spray coefficients, curvature tensors.

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