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arXiv · 2601.03094

Submanifolds of almost quaternionic skew-Hermitian manifolds

Ioannis Chrysikos·Jan Gregorovič
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Abstract

We investigate several classes of submanifolds of almost quaternionic skew-Hermitian manifolds $(M^{4n}, Q, \omega)$, including almost symplectic, almost complex, almost pseudo-Hermitian and almost quaternionic submanifolds. In the torsion-free case, we realize each type of submanifold considered in the theoretical part by constructing explicit examples of submanifolds of semisimple quaternionic skew-Hermitian symmetric spaces.

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Ioannis Chrysikos, Jan Gregorovič. 2026-01-06. Submanifolds of almost quaternionic skew-Hermitian manifolds. https://arxiv.org/abs/2601.03094

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