Abstract
We study and classify almost complex totally geodesic submanifolds of the nearly Kähler flag manifold \(F_{1,2}(\mathbb C^3)\), and of its semi-Riemannian counterpart. We also develop a structural approach to the nearly Kähler flag manifold \(F_{1,2}(\mathbb C^3)\), expressing for example the curvature tensor in terms of the nearly Kähler structure J and the three canonical orthogonal complex structures.
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Cwiklinski, K., Vrancken, L. Almost Complex Surfaces in the Nearly Kähler Flag Manifold. Results Math 77, 134 (2022). https://doi.org/10.1007/s00025-022-01670-z
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DOI: https://doi.org/10.1007/s00025-022-01670-z