平衡挠积埃尔米特流形  

Balanced Twisted Product Hermitian Manifold

作　　者：李淑雯 卢晓英 何勇[3] 加依达尔·里扎别克 

机构地区：[1]新疆师范大学数学科学学院,新疆 乌鲁木齐 [2]陆军边海防学院乌鲁木齐校区,新疆 乌鲁木齐 [3]1新疆师范大学数学科学学院,新疆 乌鲁木齐

出　　处：《理论数学》2023年第10期2908-2915,共8页Pure Mathematics

摘　　要：设(M1,g) 和(M2,h) 是两个埃尔米特流形,挠积埃尔米特流形(M1×fM2,G) 是赋予了埃尔米特度量 G = g+f2h 的乘积流形M1×M2,这里f是M1×M2上的光滑函数。本文推导出挠积埃尔米特流形的挠率和挠率(1,0)形式,给出埃尔米特流形(M1×fM2,G)平衡的充分必要条件。Let (M1,g) and (M2,h) be two Hermitian manifolds. The twisted product Hermitianmanifold (M1×fM2,G) is the product manifold M1×M2 endowed with the Hermitianmetric G = g+f2h , where f is a positive smooth function on M1×M2. In this paper, thetorsion tensor and torsion (1,0) forms of the twisted product Hermitian manifold arederived. Sufficient and necessary conditions are given that (M1×fM2,G) is balanced.

关 键 词：埃尔米特流形 挠积 平衡流形 

分 类 号：O18[理学—数学]