[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.5831/HMJ.2011.33.4.557

AFFINE YANG-MILLS CONNECTIONS ON NORMAL HOMOGENEOUS SPACES

Park, Joon-Sik (Department of Mathematics, Pusan University of Foreign Studies)

Publication Information

Honam Mathematical Journal / v.33, no.4, 2011 , pp. 557-573 More about this Journal

Abstract

Let G be a compact and connected semisimple Lie group, H a closed subgroup, g (resp. h) the Lie algebra of G (resp. H), B the Killing form of g, g the normal metric on the homogeneous space G/H which is induced by -B. Let D be an invarint connection with Weyl structure (D, g, ${\omega}$ ) in the tangent bundle over the normal homogeneous Riemannian manifold (G/H, g) which is projectively flat. Then, the affine connection D on (G/H, g) is a Yang-Mills connection if and only if D is the Levi-Civita connection on (G/H, g).

Keywords

Yang-Mills connection; Weyl structure; invariant connection; normal homogeneous Riemannian manifold;

Citations & Related Records

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