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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Published in:Symmetry, Integrability and Geometry: Methods and Applications
Date:2017
Main Author: Huang, T.
Format: Article
Language:English
Published: Інститут математики НАН України 2017
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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Digital Library of Periodicals of National Academy of Sciences of Ukraine
id nasplib_isofts_kiev_ua-123456789-148730
record_format dspace
spelling Huang, T.
2019-02-18T18:14:52Z
2019-02-18T18:14:52Z
2017
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
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.
en
Інститут математики НАН України
Symmetry, Integrability and Geometry: Methods and Applications
An Energy Gap for Complex Yang-Mills Equations
Article
published earlier
institution Digital Library of Periodicals of National Academy of Sciences of Ukraine
collection DSpace DC
title An Energy Gap for Complex Yang-Mills Equations
spellingShingle An Energy Gap for Complex Yang-Mills Equations
Huang, T.
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
author Huang, T.
author_facet Huang, T.
publishDate 2017
language English
container_title Symmetry, Integrability and Geometry: Methods and Applications
publisher Інститут математики НАН України
format Article
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.
issn 1815-0659
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.
work_keys_str_mv AT huangt anenergygapforcomplexyangmillsequations
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first_indexed 2025-11-30T02:50:34Z
last_indexed 2025-11-30T02:50:34Z
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