一类新的具有Scalar旗曲率的广义(α,β)-度量

A New Class of General（α，β）-Metrics with

Scalar FlagCurvature

ZHOU Fen1， HE Bai-tong2

【摘要】Abstract：Some general（α，β）-metrics were structured by ［1］.In this paper，we study a new class of general（α，β）-metrics and compute their Scalar flag curvature.

【期刊名称】安徽师范大学学报（自然科学版）

【年(卷),期】2014(037)003

【总页数】5

【关键词】Key words：general（α，β）-metrics；locally projectively flat；scalar flag curvature

Classification No：O186.12 Document code：A Paper No：1001-2443（2014）03-0228-05

1 Introduction

In Finsler geometry，it is in general very difficult to compute the curvature of a Finsler metric.Some Finsler metrics are defined by some elementary functions，but their expressions of curvature are extremely complicated so that one can not easily determine their values.

There is a class of Finsler metrics defined by a Riemannian metric and a 1-form on a manifold.They are called（α，β）-metrics.（α，β）-metrics form a rich class of computable Finsler metrics.Many（α，β）-metrics with special curvature properties have been found and discussed.More