Holomorphic Deformations of the Ricci-flat ?-manifolds

被引：0
作者：
Hai Sheng LIU
机构：
[1] CenterofMathematicalSciences,ZhejiangUniversity
来源：
ActaMathematicaSinica | 2016年 / 32卷 / 06期
关键词：
D O I：
暂无
中图分类号：
O186.12 [黎曼几何];
学科分类号：
070104 ;
摘要：
We present a construction of globally convergent power series of integrable Beltrami differentials on the Ricci-flat ??-manifolds and also a construction of global canonical family of holomorphic(n,0)-forms on the deformation spaces of the Ricci-flat ??-manifolds.
引用
收藏
页码：643 / 658
页数：16
相关论文
共 50 条
[31]   SUPERCONFORMAL SYMMETRY AND GEOMETRY OF RICCI-FLAT KAHLER-MANIFOLDS [J].
OOGURI, H .
INTERNATIONAL JOURNAL OF MODERN PHYSICS A, 1989, 4 (17) :4303-4324
[32]   Ricci-Flat Metrics on Vector Bundles Over Flag Manifolds [J].
Achmed-Zade, Ismail ;
Bykov, Dmitri .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2020, 376 (03) :2309-2328
[33]   ALE Ricci-flat Kahler metrics and deformations of quotient surface singularities [J].
Suvaina, Ioana .
ANNALS OF GLOBAL ANALYSIS AND GEOMETRY, 2012, 41 (01) :109-123
[34]   Ricci-flat branes [J].
Brecher, D ;
Perry, MJ .
NUCLEAR PHYSICS B, 2000, 566 (1-2) :151-172
[35]   Some rigidity results for noncompact gradient steady Ricci solitons and Ricci-flat manifolds [J].
He, Fei .
DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS, 2017, 52 :181-200
[36]   ENERGY AND ASYMPTOTICS OF RICCI-FLAT 4-MANIFOLDS WITH A KILLING FIELD [J].
Weber, Brian .
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2019, 147 (07) :3117-3130
[37]   RICCI-FLAT KAHLER-METRICS ON AFFINE ALGEBRAIC-MANIFOLDS [J].
BANDO, S ;
KOBAYASHI, R .
LECTURE NOTES IN MATHEMATICS, 1988, 1339 :20-31
[38]   Four-Dimensional, Ricci-Flat Manifolds which Admit a Metric [J].
Hall, Graham .
FILOMAT, 2015, 29 (03) :563-571
[39]   Conformal holonomy of C-spaces, Ricci-flat, and Lorentzian manifolds [J].
Leistner, Thomas .
DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS, 2006, 24 (05) :458-478
[40]   Levi-Civita Ricci-flat metrics on compact complex manifolds [J].
He, Jie ;
Liu, Kefeng ;
Yang, Xiaokui .
JOURNAL OF GEOMETRIC ANALYSIS, 2020, 30 (01) :646-666
12345