吉林大学学报（理学版）Issue(4)：675-679,5.DOI:10.13413/j.cnki.jdxblxb.2015.04.16
反正切 Finsler 度量与 Kropina 度量射影等价的充要条件
Sufficient and Necessary Condition for Projective Equivalence between Arctangent Finsler Metric and Kropina Metric
摘要
Abstract
We studied the projective equivalence between arctangent Finsler metric F =α+εβ+βarctan(β/α)and Kropina metric 췍F =α2/β on a mainfold,whereα andαare two Riemannian metrics, and bothβ and β are nonzero 1-form.Using the property that projective equivalence has the same Douglas curvature,we obtained a sufficient and necessary condition when both the metrics are projective equivalence.关键词
反正切 Finsler度量/Kropina度量/射影等价/Douglas度量Key words
arctangent Finsler metric/Kropina metric/projective equivalence/Douglas metric分类
数理科学引用本文复制引用
吴丹,宋卫东..反正切 Finsler 度量与 Kropina 度量射影等价的充要条件[J].吉林大学学报（理学版）,2015,(4):675-679,5.基金项目
国家自然科学基金重点项目(批准号:11071005) （批准号:11071005）
