학술저널
A DECOMPOSITION OF THE CURVATURE TENSOR ON SU (3)/T (k, l) WITH A SU (3)-INVARIANT METRIC
- 충청수학회
- Journal of the Chungcheong Mathematical Society
- Volume 28, No. 2
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2015.05229 - 241 (13 pages)
- 2
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.
1. Introduction
2. Preliminaries
3. Inequivalent isotropy irreducible representations in SU (3)/T (k, l)
4. A decomposition of the curvature tensor on SU (3)/T (k, l) with an arbitrarily given SU (3)-invariant Riemannian metric
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