A new characterization of Finsler metrics with constant flag curvature 1

Abstract

The purpose of this article is to derive an integral inequality of Ricci curvature with respect to Reeb field in a Finsler space and give a new geometric characterization of Finsler metrics with constant flag curvature 1.

Key words： Finsler metric; constant flag curvature; Reeb vector field

References

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