Submanifolds of almost quaternionic skew-Hermitian manifolds

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Authors: Ioannis Chrysikos, Jan Gregorovič
Cited by: 0

Abstract

We investigate several classes of submanifolds of almost quaternionic skew-Hermitian manifolds $(M^{4n}, Q, ω)$, 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.

Fields of Study & Subjects

Geometry and complex manifolds Geometric Analysis and Curvature Flows Algebraic and Geometric Analysis

Publication details

Journal / source
arXiv (Cornell University)
Publication date
6 January 2026
Document type
Preprint