Metrics on complex manifolds

被引：0

作者：

YAU Shing-Tung ^{[1
]}

机构：

[1] Department of Mathematics, Harvard University, Cambridge

来源：

Science China(Mathematics) | 2010年 / 53卷 / 03期

关键词：

intrinsic metrics; generalized Bergman metrics; Weil-Petersson metric; Strominger system;

D O I：

暂无

中图分类号：

O174.5 [复分析、复变函数];

学科分类号：

070104 ;

摘要：

In this note we discuss various canonical metrics on complex manifolds. A generalization of the Bergman metric is proposed and the relations of metrics on moduli spaces are commented. At last, we review some existence theorems of solutions to the Strominger system.

引用

页码：565 / 572

页数：8

共 50 条

[31] Global rigidity of holomorphic Riemannian metrics on compact complex 3-manifolds
Dumitrescu, Sorin
Zeghib, Abdelghani
MATHEMATISCHE ANNALEN, 2009, 345 (01) : 53 - 81
[32] Teichmüller space of negatively curved metrics on complex hyperbolic manifolds is not contractible
F. Thomas Farrell
Gangotryi Sorcar
Science China Mathematics, 2017, 60 : 569 - 580
[33] Nonpositively curved almost Hermitian metrics on product of compact almost complex manifolds
Chengjie Yu
Acta Mathematica Sinica, English Series, 2015, 31 : 61 - 70
[34] Invariant Tensors under the Twin Interchange of Norden Metrics on Almost Complex Manifolds
Mancho Manev
Results in Mathematics, 2016, 70 : 109 - 126
[35] Invariant Tensors under the Twin Interchange of Norden Metrics on Almost Complex Manifolds
Manev, Mancho
RESULTS IN MATHEMATICS, 2016, 70 (1-2) : 109 - 126
[36] Global rigidity of holomorphic Riemannian metrics on compact complex 3-manifolds
Sorin Dumitrescu
Abdelghani Zeghib
Mathematische Annalen, 2009, 345
[37] Levi-Civita Ricci-flat metrics on compact complex manifolds
Jie He
Kefeng Liu
Xiaokui Yang
The Journal of Geometric Analysis, 2020, 30 : 646 - 666
[38] Locally Conformal Hermitian Metrics on Complex Non-Kähler Manifolds
Daniele Angella
Luis Ugarte
Mediterranean Journal of Mathematics, 2016, 13 : 2105 - 2145
[39] Nonpositively Curved Almost Hermitian Metrics on Product of Compact Almost Complex Manifolds
Chengjie YU
Acta Mathematica Sinica, 2015, 31 (01) : 61 - 70
[40] Frölicher spectral sequence of compact complex manifolds with special Hermitian metrics
Latorre, Adela
Ugarte, Luis
Villacampa, Raquel
ANNALS OF GLOBAL ANALYSIS AND GEOMETRY, 2024, 66 (03)

← 1 2 3 4 5 →