Tamed symplectic cones of compact Hermitian-symplectic manifolds

被引：0

作者：

Chen, Youming ^{[1
]}

Yang, Song ^{[1
]}

机构：

[1] Sichuan Univ, Dept Math, Chengdu 610064, Peoples R China

来源：

ANNALS OF GLOBAL ANALYSIS AND GEOMETRY | 2016年 / 49卷 / 04期

关键词：

Hermitian-symplectic manifold; Tamed symplectic cone; Positive current; Gauss-Manin connection; SPECIAL METRICS; STRONG KAHLER; BLOW-UPS; GAUDUCHON; RESOLUTIONS; FORMS;

D O I：

10.1007/s10455-016-9496-2

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we consider the tamed symplectic cone of a compact Hermitian-symplectic manifold. First, we prove a Poincar, duality theorem for the tamed symplectic cone. Second, we study the stability of Hermitian-symplectic metrics under the deformation of complex structures and show that the tamed symplectic cones are invariant under the parallel transport with respect to the Gauss-Manin connection.

引用

页码：361 / 368

页数：8

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