Scalar curvatures of invariant almost Hermitian structures on flag manifolds with two and three isotropic summands
Abstract
In this paper we study invariant almost Hermitian geometry on generalized flag manifolds which the isotropy representation decompose into two or three irreducible components. We will provide a classification of such flag manifolds admitting K\"ahler like scalar curvature metric, that is, almost Hermitian structures (g,J) satisfying s=2sC where s is Riemannian scalar curvature and sC is the Chern scalar curvature.
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