厦门大学学报（自然科学版）2023，Vol.62Issue(6)：963-970,8.DOI:10.6043/j.issn.0438-0479.202305009
复流形上强拟凸的复Finsler度量
Stongly pseudoconvex complex Finsler metrics on complex manifold
摘要
Abstract
As a study of differential geometry of complex Finsler metrics,which are not necessarily Hermitian quadratic on complex manifolds,the complex Finsler geometry includes Hermitian geometry as a special case,and especially focuses on the study of complex Finsler metrics that are non-Hermitian quadratic.In this paper,we present a simple introduction of some special strongly pseudo convex complex Finsler metrics which are not necessarily Hermitian quadratic,including complex Berwald metrics,weakly complex Berwald metrics,and some relationships between Kähler-Finsler metrics and weakly Kähler-Finsler metrics,its concrete constructions and classifications.We also introduce some explicit constructions of holomorphic invariant strongly convex Kähler-Berwald metrics on the unit polydisk in Cn withn≥2.关键词
复Berwald度量/Kähler-Berwald度量/全纯不变的Kähler-Berwald度量Key words
complex Berwald-metrics/Kähler-Berwald metrics/holomorphic invariant Kähler-Berwald metrics分类
数理科学引用本文复制引用
钟春平..复流形上强拟凸的复Finsler度量[J].厦门大学学报（自然科学版）,2023,62(6):963-970,8.基金项目
国家自然科学基金(12071386) （12071386）
