[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.7858/eamj.2010.26.1.075

YANG-MILLS CONNECTIONS ON A COMPACT CONNECTED SEMISIMPLE LIE GROUP

Park, Joon-Sik (DEPARTMENT OF MATHEMATICS PUSAN UNIVERSITY OF FOREIGN STUDIES)

Publication Information

East Asian mathematical journal / v.26, no.1, 2010 , pp. 75-79 More about this Journal

Abstract

Let G be a compact connected semisimple Lie group, g the Lie algebra of G, g the canonical metric (the biinvariant Riemannian metric which is induced from the Killing form of g), and $\nabla$ be the Levi-Civita connection for the metric g. Then, we get the fact that the Levi-Civita connection $\nabla$ in the tangent bundle TG over (G, g) is a Yang-Mills connection.

Keywords

Yang-Mills connection; compact connected semisimple Lie group; canonical metric;

Citations & Related Records

Reference

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