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SIGMA 15 (2019), 022, 8 pages arXiv:1811.01517
https://doi.org/10.3842/SIGMA.2019.022
On a Yang-Mills Type Functional
Cătălin Gherghe
University of Bucharest, Faculty of Mathematics and Computer Science, Academiei 14, Bucharest, Romania
Received November 13, 2018, in final form February 27, 2019; Published online March 21, 2019
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.
Key words:
curvature; vector bundle; Yang-Mills connections; variations.
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