CONVERGENCE OF GENERAL INVERSE σk- FLOW ON KAHLER MANIFOLDS WITH CALABI ANSATZ

被引：0

作者：

Fang, Hao ^{[1
]}

Lai, Mijia ^{[2
]}

机构：

[1] Univ Iowa, Dept Math, Iowa City, IA 52242 USA

[2] Univ Rochester, Dept Math, Rochester, NY 14627 USA

来源：

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 2013年 / 365卷 / 12期

基金：

美国国家科学基金会;

关键词：

RICCI FLOW;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the convergence behavior of the general inverse sigma(k)-flow on Kahler manifolds with initial metrics satisfying the Calabi ansatz. The limiting metrics can be either smooth or singular. In the latter case, interesting conic singularities along negatively self-intersected subvarieties are formed as a result of partial blow up.

引用

页码：6543 / 6567

页数：25

共 25 条

[1] [Anonymous], ARXIV09094898
[2] The obstacle problem revisited
Caffarelli, LA
[J]. JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS, 1998, 4 (4-5) : 383 - 402
[3] CALABI E, 1982, ANN MATH STUD, P259
[4] DEFORMATION OF KAHLER METRICS TO KAHLER-EINSTEIN METRICS ON COMPACT KAHLER-MANIFOLDS
CAO, HD
[J]. INVENTIONES MATHEMATICAE, 1985, 81 (02) : 359 - 372
[5] Chen XX, 2004, COMMUN ANAL GEOM, V12, P837
[6] Donaldson S.K., 1999, Asian J. Math, V1, P1
[7] SINGULAR KAHLER-EINSTEIN METRICS
Eyssidieux, Philippe
Guedj, Vincent
Zeriahi, Ahmed
[J]. JOURNAL OF THE AMERICAN MATHEMATICAL SOCIETY, 2009, 22 (03) : 607 - 639
[8] Fang H., PAC J MATH IN PRESS
[9] On a class of fully nonlinear flows in Kahler geometry
Fang, Hao
Lai, Mijia
Ma, Xinan
[J]. JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 2011, 653 : 189 - 220
[10] Feldman M, 2003, J DIFFER GEOM, V65, P169

← 1 2 3 →