Cauchy-Schwarz-type inequalities on Kahler manifolds

被引：5
|
作者：
Li, Ping [1 ,2 ]
机构：
[1] Tongji Univ, Dept Math, Shanghai 200092, Peoples R China
[2] Waseda Univ, Fac Sci & Engn, Dept Math, Shinjuku Ku, Tokyo 1698555, Japan
来源：
JOURNAL OF GEOMETRY AND PHYSICS | 2013年 / 68卷
基金：
中国国家自然科学基金;
关键词：
Cauchy-Schwarz-type inequality; Kahler manifold; Chern number inequality; Quaternion-Kahler manifold; EINSTEIN-METRICS; EXISTENCE;
D O I：
10.1016/j.geomphys.2013.02.005
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this note we investigate Cauchy-Schwarz-type inequalities for cohomology elements on compact Kahler manifolds, which can be viewed as generalizations of a classical case. We obtain, as a corollary, some Chem number inequalities when the Hodge numbers of Kahler manifolds satisfy certain restrictions. The same argument can also be applied to compact quaternion-Kahler manifolds with positive scalar curvature to obtain a similar result. (C) 2013 Elsevier B.V. All rights reserved.
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页码：76 / 80
页数：5
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