[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/BKMS.2003.40.1.109

YANG-MILLS OR YANG-MILLS-HIGGS FIELDS OVER KAEHLER AND CONTACT MANIFOLDS

Park, Young-Soo (Kyungpook National University, Department Of Mathematics)
Suh, Young-Jin (Kyungpook National University, Department Of Mathematics)

Publication Information

Bulletin of the Korean Mathematical Society / v.40, no.1, 2003 , pp. 109-122 More about this Journal

Abstract

In this paper we give a characterization of an irreducible connection with harmonic curvature over a connected Kaehler manifold to be self-dual. Also we introduce new notions of $c_{i}-self-dual$ or Kaehler Yang-Mills connections on compact Kaehler manifolds and investigate some fundamental properties of this kind of new connections. Moreover, on a compact odd dimensional Riemannian manifold we give a property of generalized monopole.

Keywords

self-dual part; anti-self-dual part; Yang-Mills connection; $c_{i}-self-dual$ connection; Yang-Mills-Higgs field; Kaehler Yang-Mills connection;

Citations & Related Records

Reference

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