摘要
The purpose of the present paper is to investigate afflnely equivalent Kahler-Finsler metrics on a complex manifold. We give two facts （1） Projectively equivalent Kahler-Finsler metrics must be affinely equivalent; （2） a Khhler-Finsler metric is a Kaihler-Berwald metric if and only if it is affinely equivalent to a Kahler metric. Furthermore, we give a formula to describe the affine equivalence of two weakly Kaihler-Finsler metrics.
The purpose of the present paper is to investigate affinely equivalent Khler-Finsler metrics on a complex manifold.We give two facts (1) Projectively equivalent Khler-Finsler metrics must be affinely equivalent;(2) a Khler-Finsler metric is a Khler-Berwald metric if and only if it is affinely equivalent to a Khler metric.Furthermore,we give a formula to describe the affine equivalence of two weakly Khler-Finsler metrics.
基金
supported by the Fundamental Research Funds for the Central Universities(Grant No. 2010121002)
