共形复Finsler流形上的交换公式(英文)  

On Commutative Formulae in Conformal Complex Finsler Manifolds

作　　者：吴燕瑜[1] 钟春平[1] 

机构地区：[1]厦门大学数学科学学院,福建厦门361005

出　　处：《数学研究》2009年第3期231-243,共13页Journal of Mathematical Study

基　　金：supported by Program for New Century Excellent Talents in Fujian Province University;the Natural Science Foundation of China(10601040,10971170)

摘　　要：设M为n维复流形,■～=T^(1,0)M-{0},F为M上的强拟凸复Finsler度量, ■=e~σF为F的共形变换。本文得到定义在■上的各种Hermitian张量场分别关于复Finsler流形(M,F)和(M,■)的复Rund联络求共变微分的各种交换公式。Let M be a complex manifold of dimension n,M^- = T^1,0M-{0} be the slit holomorphic tangent bundle of M,F be a strongly pseudoconvex complex Finsler metric on M and F^- =e^σF be a conformal transformation of F.In this paper we obtain various kinds of commutative formulae of Hermitián tensor covariantly derivatived with respect to the complex Rund connections associated to （M,F） and（M,F^-）,respectively.

关 键 词：交换公式 复Finlser度量 复Rund联络 

分 类 号：O174.5[理学—数学]