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

Title & Authors
YANG-MILLS OR YANG-MILLS-HIGGS FIELDS OVER KAEHLER AND CONTACT MANIFOLDS
Park, Young-Soo; Suh, Young-Jin;

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 $\small{c_{i}-self-dual}$ 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;$\small{c_{i}-self-dual}$ connection;Yang-Mills-Higgs field;Kaehler Yang-Mills connection;
Language
English
Cited by
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