Affinely equivalent K(a)hler-Finsler metrics on a complex manifold

• 来源期刊: 中国科学：数学（英文版）
• 年，卷（期）: 2012,（4）
• 页码范围: 731-738
• 页数: 8页
• 语种: 英文
• DOI: 10.1007/sl1425-011-4343-1

摘要

The purpose of the present paper is to investigate affinely equivalent K(a)hler-Finsler metrics on a complex manifold. We give two facts (1) Projectively equivalent K(a)hler-Finsler metrics must be affinely equivalent; (2) a K(a)hler-Finsler metric is a K(a)hler-Berwald metric if and only if it is affinely equivalent to a K(a)hler metric.Furthermore,we give a formula to describe the affine equivalence of two weakly K(a)hler-Finsler metrics.