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Comptes Rendus Mathématique
Volume 355, n° 8
pages 910-913 (août 2017)
Doi : 10.1016/j.crma.2017.07.012
Received : 10 April 2017 ;  accepted : 28 July 2017
A proof of energy gap for Yang–Mills connections
Une preuve du gap d'énergie pour les connexions de Yang–Mills
 

Teng Huang
 Key Laboratory of Wu Wen-Tsun Mathematics, Chinese Academy of Sciences, School of Mathematical Sciences, University of Science and Technology of China, Hefei, Anhui 230026, PR China 

Abstract

In this note, we prove an  -energy gap result for Yang–Mills connections on a principal G -bundle over a compact manifold without using the Lojasiewicz–Simon gradient inequality ([[2]] Theorem 1.1).

The full text of this article is available in PDF format.
Résumé

Dans cette note, nous démontrons un résultat concernant le gap d'énergie   pour les connexions de Yang–Mills sur un fibré principal de groupe structural G sur une variété compacte, sans utiliser l'inégalité du gradient de Lojasiewicz–Simon.

The full text of this article is available in PDF format.


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