Bulletin of the Korean Mathematical Society (대한수학회보)

Korean Mathematical Society (대한수학회)
권호 표지
DOI QR코드

DOI QR Code

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)
  • Published : 2003.02.01
Download PDF
⟨ Previous Next ⟩

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

References

  1. Proc. R. Soc. Lond. A v.362 Self-duality in four dimensional Riemannian geometry M. F. Atiyah;N. J. Hitchin;I. M. Singer https://doi.org/10.1098/rspa.1978.0143
  2. Pub. R.I.M.S. v.19 On the moduli spaces of anti-self-dual Yang-Mills connection on kaehler surfaces M. Itoh https://doi.org/10.2977/prims/1195182973
  3. J. Math. Phys. v.36 Generalized magnetic monopoles over contact manifolds M. Itoh https://doi.org/10.1063/1.531152
  4. J. Math. Phys. v.32 Duality and Yang-Mills fields on quaternionic Kaehler manifolds K. Galicki;Y. S. Poon https://doi.org/10.1063/1.529501
  5. Differential geometry of complex vector bundles S. Kobayashi
  6. Tsukuba J. Math. v.14 On the anti-self-duality of he Yang-Mills connection over higher dimensional kaehlerian manifold Y. J. Suh https://doi.org/10.21099/tkbjm/1496161469
  7. Differential analysis on complex manifolds R. O., Jr. Wells