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《Journal of Southwest China Normal University(Natural Science Edition)》 2006-06
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Some Properties of a Class of Special(α,β)-Metric

LIU Rui-huaDept.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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【Citations】
Chinese Journal Full-text Database 1 Hits
1 LI Fang~(1,2), CHENG Xin-yue~3 1. School of Mathematics and Finance, Southwest China Normal University, Chongqing 400715, China; 2. Dept. of Mathematics, East China Normal University, Shanghai 200062, China; 3. Dept. of Mathematics, Chongqing Institute of Technology, Chongqing 400050, China;About Several Properties of Shen Metric[J];Journal of Southwest China Normal University(Natural Science);2005-04
【Co-citations】
Chinese Journal Full-text Database 2 Hits
1 TONG Yin(College of Mathematics and Computer Science, Chongqing Normal University, Chongqing 400047, China);Turn L-reducible Finsler Space to Be C-reducible Finsler Space[J];Journal of Chongqing Normal University(Natural Science);2009-02
2 TONG Yin1, WANG Jia2 1School of Mathematics and Finance, Southwest University, Chongqing 400715, China 2Library Department, Southwest University, Chongqing 400715, China;Two Kinds of Finsler Spaces with Constant Curvature[J];Journal of Southwest China Normal University(Natural Science);2005-05
【Secondary Citations】
Chinese Journal Full-text Database 2 Hits
1 LIFang~1,WANGJia~21. School of Mathematics and Finance, Southwest China Normal University, Chongqing 400715, China;2. School of Computer and Information Science, Southwest China Normal University, Chongqing 400715, China;Serveral Properties of Finsler Space with Kropina Metric[J];Journal of Southwest China Normal University(Natural Science);2004-03
2 LI Fang~(1,2), WANG Jia~31. School of Mathematics and Finance, Southwest China Normal University, Chongqing 400715, China;2. Dept. of Mathematics, East China Normal University, Shanghai 200062, China;3. School of Computer and Information Science, Southwest China Normal University, Chongqing 400715, China;On Conformally and Projectively Related Finsler Spaces[J];Journal of Southwest China Normal University(Natural Science);2005-03
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