
SIGMA 15 (2019), 022, 8 pages arXiv:1811.01517
https://doi.org/10.3842/SIGMA.2019.022
On a YangMills 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 YangMills functional and BornInfeld 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; YangMills connections; variations.
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