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Symmetry, Integrability and Geometry: Methods and Applications, 2019, Volume 15, 022, 8 pp.
DOI: https://doi.org/10.3842/SIGMA.2019.022 (Mi sigma1458) 		 
On a Yang–Mills Type Functional

Cătălin Gherghe

University of Bucharest, Faculty of Mathematics and Computer Science, Academiei 14, Bucharest, Romania
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DOI: https://doi.org/10.3842/SIGMA.2019.022
Abstract: We study a functional that derives from the classical Yang–Mills functional and Born–Infeld theory. We establish its first variation formula and prove the existence of critical points. We also obtain the second variation formula.
Keywords: curvature; vector bundle; Yang–Mills connections; variations.
Funding agency Grant number
Unitatea Executiva pentru Finantarea Invatamantului Superior, a Cercetarii, Dezvoltarii si Inovarii, Romania PN-III-P4-ID-PCE-2016-00
This work is partially supported by a Grant of Ministry of Research and Innovation, CNCS - UEFISCDI, Project Number PN-III-P4-ID-PCE-2016-0065, within PNCDI III.
Received: November 13, 2018; in final form February 27, 2019; Published online March 21, 2019
Bibliographic databases:
Document Type: Article
MSC: 58E15; 81T13; 53C07
Language: English
Citation: Cătălin Gherghe, “On a Yang–Mills Type Functional”, SIGMA, 15 (2019), 022, 8 pp.
Citation in format AMSBIB
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