Hyun-Woong Kim, Yong-Soo Pyo, Hyun-Ju Shin
Abstract
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In this paper, we obtain the Ricci curvature and the scalar curvature on SU(3) with some left invariant Riemannian metric. And then we get a necessary and sufficient condition for the scalar curvature (resp. the Ricci curvature) on the Riemannian manifold SU(3) to be positive.
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In this paper, we obtain the Ricci curvature and the scalar curvature on SU(3) with some left invariant Riemannian metric. And then we get a necessary and sufficient condition for the scalar curvature (resp. the Ricci curvature) on the Riemannian manifold SU(3) to be positive.
Key concepts: Scalar curvature, Ricci curvature, Curvature of Riemannian manifolds, Prescribed scalar curvature problem, Ricci flow, Curvature, Riemann curvature tensor, Mathematics