### Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)

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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