The flag curvature of invariant (α, β)-metrics of type \frac{(\alpha+\beta)^2}{\alpha}

Randers Metrics of Scalar Flag Curvature

We study an important class of Finsler metrics — Randers metrics. We classify Randers metrics of scalar flag curvature whose S-curvatures are isotropic. This class of Randers metrics contains all projectively flat Randers metrics with isotropic S-curvature and Randers metrics of constant flag curvature.

Randers Metrics of Sectional Flag Curvature

A Finsler metric is of sectional flag curvature if its flag curvature depends only on the section. In this article, we characterize Randers metrics of sectional flag curvature. It is proved that any non-Riemannian Randers metric of sectional flag curvature must have constant flag curvature if the dimension is greater than two. 0. Introduction Finsler geometry has a long history dated from B. Ri...

the investigation of the relationship between type a and type b personalities and quality of translation

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Nonreversible Finsler Metrics of Positive Flag Curvature

Classification of Randers Metrics of Scalar Flag Curvature

This is a survey article about the recent developments in classifying Randers metrics of scalar flag curvature under an additional condition on the isotropic S-curvature. The authors give an outline of the proof for the classification theorem.