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.
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).
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@article{CRMATH_2017__355_8_910_0, author = {Huang, Teng}, title = {A proof of energy gap for {Yang{\textendash}Mills} connections}, journal = {Comptes Rendus. Math\'ematique}, pages = {910--913}, publisher = {Elsevier}, volume = {355}, number = {8}, year = {2017}, doi = {10.1016/j.crma.2017.07.012}, language = {en}, url = {http://www.numdam.org/articles/10.1016/j.crma.2017.07.012/} }
TY - JOUR AU - Huang, Teng TI - A proof of energy gap for Yang–Mills connections JO - Comptes Rendus. Mathématique PY - 2017 SP - 910 EP - 913 VL - 355 IS - 8 PB - Elsevier UR - http://www.numdam.org/articles/10.1016/j.crma.2017.07.012/ DO - 10.1016/j.crma.2017.07.012 LA - en ID - CRMATH_2017__355_8_910_0 ER -
Huang, Teng. A proof of energy gap for Yang–Mills connections. Comptes Rendus. Mathématique, Tome 355 (2017) no. 8, pp. 910-913. doi : 10.1016/j.crma.2017.07.012. http://www.numdam.org/articles/10.1016/j.crma.2017.07.012/
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