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http://dx.doi.org/10.14403/jcms.2015.28.2.229

A DECOMPOSITION OF THE CURVATURE TENSOR ON SU(3)=T (k, l) WITH A SU(3)-INVARIANT METRIC  

Son, Heui-Sang (Department of Applied Mathematics Pukyong National University)
Park, Joon-Sik (Department of Mathematics Pusan University of Foreign Studies)
Pyo, Yong-Soo (Department of Applied Mathematics Pukyong National University)
Publication Information
Journal of the Chungcheong Mathematical Society / v.28, no.2, 2015 , pp. 229-241 More about this Journal
Abstract
In this paper, we decompose the curvature tensor (field) on the homogeneous Riemannian manifold SU(3)=T (k, l) with an arbitrarily given SU(3)-invariant Riemannian metric into three curvature-like tensor fields, and investigate geometric properties.
Keywords
curvature tensor field; homogeneous space; Weyl tensor; Ricci tensor;
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Times Cited By KSCI : 2  (Citation Analysis)
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