Almost complex surfaces in the nearly Kaehler flag manifold

Kamil Cwilinski; Luc Vrancken

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arXiv · 2107.00920

Almost complex surfaces in the nearly Kaehler flag manifold

Kamil Cwilinski·Luc Vrancken

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Abstract

We study and classify almost complex totally geodesic submanifolds of the nearly Kaehler flag manifold $F_{1,2}(\mathbb C^3)$, and of its semi-Riemannian counterpart. We also develop a structural approach to the nearly Kaehler flag manifold $F_{1,2}(\mathbb C^3)$, expressing for example the curvature tensor in terms of the nearly Kaehler structure $J$ and the three canonical orthogonal complex structures.

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Kamil Cwilinski, Luc Vrancken. 2021-07-02. Almost complex surfaces in the nearly Kaehler flag manifold. https://arxiv.org/abs/2107.00920

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