Long-time existence for Yang–Mills flow

被引：0

作者：

Alex Waldron

机构：

[1] Simons Center for Geometry and Physics,

来源：

Inventiones mathematicae | 2019年 / 217卷

关键词：

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We establish that finite-time singularities do not occur in four-dimensional Yang–Mills flow, confirming the conjecture of Schlatter et al. (Am J Math 120:117–128, 1998). The proof relies on a weighted energy identity and sharp decay estimates in the neck region.

引用

页码：1069 / 1147

页数：78

共 50 条

[1] Long-time existence for Yang-Mills flow
Waldron, Alex
INVENTIONES MATHEMATICAE, 2019, 217 (03) : 1069 - 1147
[2] Long-Time Behaviour of the Yang--Mills Flow in Four Dimensions
Andreas Schlatter
Annals of Global Analysis and Geometry, 1997, 15 : 1 - 25
[3] Long-time behaviour of the Yang-Mills flow in four dimensions
Schlatter, A
ANNALS OF GLOBAL ANALYSIS AND GEOMETRY, 1997, 15 (01) : 1 - 25
[4] Random Holonomy for Yang–Mills Fields: Long-Time Asymptotics
Robert Otto Bauer
Potential Analysis, 2003, 18 : 43 - 57
[5] Random holonomy for Yang-Mills fields: Long-time asymptotics
Bauer, RO
POTENTIAL ANALYSIS, 2003, 18 (01) : 43 - 57
[6] The Long-Time Existence of the Finslerian Ricci Flow
Ahmadi, Mohamad Yar
Bidabad, Behroz
Shahi, Alireza
BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, 2024, 50 (02)
[7] Long-time existence of the edge Yamabe flow
Bahuaud, Eric
Vertman, Boris
JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN, 2019, 71 (02) : 651 - 688
[8] The Long-Time Existence of the Finslerian Ricci Flow
Mohamad Yar Ahmadi
Behroz Bidabad
Alireza Shahi
Bulletin of the Iranian Mathematical Society, 2024, 50
[9] THE LONG-TIME EXISTENCE AND CONVERGENCE OF THE CR YAMABE FLOW
Ho, Pak Tung
COMMUNICATIONS IN CONTEMPORARY MATHEMATICS, 2012, 14 (02)
[10] Smooth long-time existence of Harmonic Ricci Flow on surfaces
Buzano, Reto
Rupflin, Melanie
JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 2017, 95 : 277 - 304

← 1 2 3 4 5 →