GEOMETRY OF MINIMAL ENERGY YANG-MILLS CONNECTIONS

被引：0

作者：

Stern, Mark ^{[1
]}

机构：

[1] Duke Univ, Dept Math, Durham, NC 27708 USA

来源：

JOURNAL OF DIFFERENTIAL GEOMETRY | 2010年 / 86卷 / 01期

基金：

美国国家科学基金会;

关键词：

STABILITY; INSTABILITY;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove that energy minimizing Yang-Mills connections on compact homogeneous 4-manifolds are either instantons or split into a sum of instantons on passage to the adjoint bundle. We prove related results for Calabi-Yau 3-folds and for 3-dimensional manifolds of nonnegative Ricci curvature.

引用

页码：163 / 188

页数：26

共 50 条

[1] An Energy Gap for Yang-Mills Connections
Gerhardt, Claus
[J]. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2010, 298 (02) : 515 - 522
[2] An Energy Gap for Yang-Mills Connections
Claus Gerhardt
[J]. Communications in Mathematical Physics, 2010, 298 : 515 - 522
[3] GEOMETRY OF YANG-MILLS CONNECTIONS OVER A KAHLER SURFACE
ITOH, M
[J]. PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES, 1983, 59 (09) : 431 - 433
[4] A proof of energy gap for Yang-Mills connections
Huang, Teng
[J]. COMPTES RENDUS MATHEMATIQUE, 2017, 355 (08) : 910 - 913
[5] The energy identity for a sequence of Yang-Mills -connections
Hong, Min-Chun
Schabrun, Lorenz
[J]. CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 2019, 58 (03)
[6] ON EXPONENTIAL YANG-MILLS CONNECTIONS
MATSUURA, F
URAKAWA, H
[J]. JOURNAL OF GEOMETRY AND PHYSICS, 1995, 17 (01) : 73 - 89
[7] Asymptotical behaviour of the Yang-Mills flow and singular Yang-Mills connections
Min-Chun Hong
Gang Tian
[J]. Mathematische Annalen, 2004, 330 : 441 - 472
[8] Asymptotical behaviour of the Yang-Mills flow and singular Yang-Mills connections
Hong, MC
Tian, G
[J]. MATHEMATISCHE ANNALEN, 2004, 330 (03) : 441 - 472
[9] Limits of Yang-Mills -connections
Kelleher, Casey Lynn
[J]. CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 2019, 58 (02)
[10] ON INSTABILITY OF YANG-MILLS CONNECTIONS
KOBAYASHI, S
OHNITA, Y
TAKEUCHI, M
[J]. MATHEMATISCHE ZEITSCHRIFT, 1986, 193 (02) : 165 - 189

← 1 2 3 4 5 →