Cătălin Gherghe, “On a Yang–Mills Type Functional”, SIGMA, 2019, том 15,022, 8 стр.

On a Yang–Mills Type Functional

Cătălin Gherghe

University of Bucharest, Faculty of Mathematics and Computer Science, Academiei 14, Bucharest, Romania

Аннотация: 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.

Ключевые слова: curvature; vector bundle; Yang–Mills connections; variations.

MSC: 58E15; 81T13; 53C07

Поступила: 13 ноября 2018 г.; в окончательном варианте 27 февраля 2019 г.; опубликована 21 марта 2019 г.

Язык публикации: английский

DOI: 10.3842/SIGMA.2019.022