CONVERGENCE OF THE J-FLOW ON TORIC MANIFOLDS

被引：0

作者：

Collins, Tristan C. ^{[1
]}

Szekelyhidi, Gabor ^{[2
]}

机构：

[1] Harvard Univ, Dept Math, One Oxford St, Cambridge, MA 02138 USA

[2] Univ Notre Dame, Dept Math, 277 Hurley, South Bend, IN USA

来源：

JOURNAL OF DIFFERENTIAL GEOMETRY | 2017年 / 107卷 / 01期

基金：

美国国家科学基金会;

关键词：

NONLINEAR ELLIPTIC-EQUATIONS; COMPACT KAHLER MANIFOLD; MABUCHI ENERGY; DIRICHLET PROBLEM; RICCI CURVATURE; STABILITY; GEOMETRY; COMPLEX;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show that on a Kahler manifold whether the J-flow converges or not is independent of the chosen background metric in its Kahler class. On toric manifolds we give a numerical characterization of when the J-flow converges, verifying a conjecture in [19] in this case. We also strengthen existing results on more general inverse sigma(k) equations on Kahler manifolds.

引用

页码：47 / 81

页数：35

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