The J-flow on Toric Manifolds

被引：1

作者：

Yao, Yi ^{[1
]}

机构：

[1] Nanjing Univ, Dept Math, Nanjing 210093, Jiangsu, Peoples R China

来源：

ACTA MATHEMATICA SINICA-ENGLISH SERIES | 2015年 / 31卷 / 10期

基金：

中国国家自然科学基金;

关键词：

J-flow; toric manifold; moment map; degenerate parabolic system; MABUCHI ENERGY; KAHLER-MANIFOLDS; CONVERGENCE; STABILITY; SURFACES;

D O I：

10.1007/s10114-015-4416-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the long time behavior of J-flows on toric manifolds. By introducing the transition maps between moment maps, we get a quasilinear parabolic system for J-flows. Some basic estimates for transition maps are obtained.

引用

页码：1582 / 1592

页数：11

共 15 条

[1]

[Anonymous], 1993, ANN MATH STUD

[2]

Chen B., ARXIV10082607

[3]

Chen XX, 2000, INT MATH RES NOTICES, V2000, P607

[4]

Chen XX, 2004, COMMUN ANAL GEOM, V12, P837

[5]

Collins T., ARXIV14124809

[6]

Donaldson S.K., 1999, Asian J. Math., V3, P1

[7]

Donaldson SK, 2002, J DIFFER GEOM, V62, P289

[8] THE J-FLOW ON KAHLER SURFACES: A BOUNDARY CASE [J].

Fang, Hao ;

Lai, Mijia ;

Song, Jian ;

Weinkove, Ben .

ANALYSIS & PDE, 2014, 7 (01) :215-226

[9]

Fang H, 2013, T AM MATH SOC, V365, P6543

[10] The J-flow and stability [J].

Lejmi, Mehdi ;

Szekelyhidi, Gabor .

ADVANCES IN MATHEMATICS, 2015, 274 :404-431

← 1 2 →