IJPAM: Volume 5, No. 2 (2003)

YANG-MILLS CONNECTIONS IN THE ORTHONORMAL
FRAME BUNEDLES OVER EINSTENIN NORMAL
HOMOGENEOUS MANIFOLDS

Joon-Sik Park
Department of Mathematics
Pusan University of Foreign Studies
Uam-Dong, Nam-Gu, Pusan 608-738, KOREA
e-mail: iohpark@taejo.pufs.ac.kr


Abstract.In this paper, we derived a necessary and sufficient condition for the connection in the orthonormal frame bundle defined by the Levi-Civita connection of an Einstein normal homogeneous manifold $(M,g)$ to be a Yang-Mills connection, and then give some examples.

Received: February 17, 2003

AMS Subject Classification: 53C07, 53C30, 58E11

Key Words and Phrases: Yang-Mills connections, Riemannian homogeneous spaces, semisimple Lie groups

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2003
Volume: 5
Issue: 2