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arXiv · 2609.14044

Invariant almost Hermitian structures on the maximal real flag manifold of type $\mathcal{A}_3$

Ana P. C. Freitas·Brian Grajales·Ailton R. Oliveira
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Abstract

We study the Gray-Hervella classes of invariant almost Hermitian structures on the maximal real flag manifold of type $\mathcal{A}_3$. We first obtain an explicit parametrization of all invariant almost Hermitian structures and establish necessary and sufficient conditions for an invariant almost Hermitian structure to belong to each Gray-Hervella class. For each nonempty class, we give an explicit parametrization of the corresponding set of structures, describe it as a smooth manifold and determine its dimension.

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Ana P. C. Freitas, Brian Grajales, Ailton R. Oliveira. 2026-09-12. Invariant almost Hermitian structures on the maximal real flag manifold of type $\mathcal{A}_3$. https://arxiv.org/abs/2609.14044

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