An Energy Gap for Complex Yang-Mills Equations

We use the energy gap result of pure Yang-Mills equation [Feehan P.M.N., Adv. Math. 312 (2017), 547-587] to prove another energy gap result of complex Yang-Mills equations [Gagliardo M., Uhlenbeck K., J. Fixed Point Theory Appl. 11 (2012), 185-198], when Riemannian manifold X of dimension n≥2 satisf...

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Date:2017
Main Author: Huang, T.
Format: Article
Language:English
Published: Інститут математики НАН України 2017
Series:Symmetry, Integrability and Geometry: Methods and Applications
Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/148730
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:An Energy Gap for Complex Yang-Mills Equations / T. Huang // Symmetry, Integrability and Geometry: Methods and Applications. — 2017. — Т. 13. — Бібліогр.: 21 назв. — англ.

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spelling nasplib_isofts_kiev_ua-123456789-1487302025-02-09T19:19:51Z An Energy Gap for Complex Yang-Mills Equations Huang, T. We use the energy gap result of pure Yang-Mills equation [Feehan P.M.N., Adv. Math. 312 (2017), 547-587] to prove another energy gap result of complex Yang-Mills equations [Gagliardo M., Uhlenbeck K., J. Fixed Point Theory Appl. 11 (2012), 185-198], when Riemannian manifold X of dimension n≥2 satisfies certain conditions. I would like to thank Karen Uhlenbeck and Michael Gagliardo for helpful comments regarding their article [9] and Paul Feehan for helpful comments regarding his articles [6, 7, 8]. I thank the anonymous referees for a careful reading of my article and helpful comments and corrections. This work is partially supported by Wu Wen-Tsun Key Laboratory of Mathematics of Chinese Academy of Sciences at USTC. 2017 Article An Energy Gap for Complex Yang-Mills Equations / T. Huang // Symmetry, Integrability and Geometry: Methods and Applications. — 2017. — Т. 13. — Бібліогр.: 21 назв. — англ. 1815-0659 2010 Mathematics Subject Classification: 58E15; 81T13 DOI:10.3842/SIGMA.2017.061 https://nasplib.isofts.kiev.ua/handle/123456789/148730 en Symmetry, Integrability and Geometry: Methods and Applications application/pdf Інститут математики НАН України
institution Digital Library of Periodicals of National Academy of Sciences of Ukraine
collection DSpace DC
language English
description We use the energy gap result of pure Yang-Mills equation [Feehan P.M.N., Adv. Math. 312 (2017), 547-587] to prove another energy gap result of complex Yang-Mills equations [Gagliardo M., Uhlenbeck K., J. Fixed Point Theory Appl. 11 (2012), 185-198], when Riemannian manifold X of dimension n≥2 satisfies certain conditions.
format Article
author Huang, T.
spellingShingle Huang, T.
An Energy Gap for Complex Yang-Mills Equations
Symmetry, Integrability and Geometry: Methods and Applications
author_facet Huang, T.
author_sort Huang, T.
title An Energy Gap for Complex Yang-Mills Equations
title_short An Energy Gap for Complex Yang-Mills Equations
title_full An Energy Gap for Complex Yang-Mills Equations
title_fullStr An Energy Gap for Complex Yang-Mills Equations
title_full_unstemmed An Energy Gap for Complex Yang-Mills Equations
title_sort energy gap for complex yang-mills equations
publisher Інститут математики НАН України
publishDate 2017
url https://nasplib.isofts.kiev.ua/handle/123456789/148730
citation_txt An Energy Gap for Complex Yang-Mills Equations / T. Huang // Symmetry, Integrability and Geometry: Methods and Applications. — 2017. — Т. 13. — Бібліогр.: 21 назв. — англ.
series Symmetry, Integrability and Geometry: Methods and Applications
work_keys_str_mv AT huangt anenergygapforcomplexyangmillsequations
AT huangt energygapforcomplexyangmillsequations
first_indexed 2025-11-30T02:50:34Z
last_indexed 2025-11-30T02:50:34Z
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