Some Properties of a Class of Special(α,β)Metric
LIU RuihuaDept.of Mathematics,East China Normal University,Shanghai 200062,China
The purpose of this paper is to study exponential metric F=αe~~~(kβα) which is a special(α,β)metric.Some important geometric quantities of F are given.Then We find the conditions are found that F is Berwald metric,Douglas metric and Projectively Flat.Finally we get an additional formula is obtained which is used to calculate Douglas curvature of(α,β)metric.
【CateGory Index】：
O186.14


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