Scalar curvatures of invariant almost Hermitian structures on flag manifolds with two and three isotropic summands

Lino Grama; Ailton R. Oliveira

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arXiv · 2211.05027

Scalar curvatures of invariant almost Hermitian structures on flag manifolds with two and three isotropic summands

Lino Grama·Ailton R. Oliveira

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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 $s=2s_C$ where $s$ is Riemannian scalar curvature and $s_C$ is the Chern scalar curvature.

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BibTeX RIS

Lino Grama, Ailton R. Oliveira. 2022-11-09. Scalar curvatures of invariant almost Hermitian structures on flag manifolds with two and three isotropic summands. https://arxiv.org/abs/2211.05027

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