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Scalar Curvatures of Invariant Almost Hermitian Structures on Generalized Flag Manifolds

Published 23 Jul 2021 in math.DG | (2107.11455v2)

Abstract: In this paper we study invariant almost Hermitian geometry on generalized flag manifolds. We will focus on providing examples of K\"ahler like scalar curvature metric, that is, almost Hermitian structures $(g,J)$ satisfying $s=2s_{\rm C}$, where $s$ is Riemannian scalar curvature and $s_{\rm C}$ is the Chern scalar curvature.

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