References
- S. Kobayashi and K. Nomizu, Foundations of Differential Geometry, Vol. I, John Wiley and Sons, New York, 1963.
- I. Mogi and M. Itoh, Differential Geometry and Gauge Theory (in Japanese), Kyoritsu Publ., 1986.
Honam Mathematical Journal (호남수학학술지)
- Volume 37 Issue 1
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- Pages.53-63
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- 2015
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- 1225-293X(pISSN)
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- 2288-6176(eISSN)
DOI QR Code
YANG-MILLS CONNECTIONS IN THE BUNDLE OF AFFINE ORTHONORMAL FRAMES
- Kim, Hyun Woong (Department of Mathematics Education, Silla University) ;
- Park, Joon-Sik (Department of Mathematics, Pusan University of Foreign Studies) ;
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Pyo, Yong-Soo
(Department of Applied Mathematics, Pukyong National University)
- Received : 2014.11.25
- Accepted : 2014.12.31
- Published : 2015.03.25
Abstract
We get a necessary and sufficient condition for a generalized affine connection in the affine orthonormal frame bundle over a smooth manifold (M, g) to be a Yang-Mills connection.
Keywords
- Yang-Mills connection;
- affine orthonormal frame bundle;
- (generalized) affine connection;
- linear connection;
- semisimple Lie group