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math.DG2026
Classification of quaternionic skew-Hermitian symmetric spaces
Ioannis Chrysikos, Jan Gregorovič
We provide a complete classification of quaternionic skew-Hermitian symmetric spaces, namely symmetric spaces that admit a torsion-free -structure for…
math.DG2026
Submanifolds of almost quaternionic skew-Hermitian manifolds
Ioannis Chrysikos, Jan Gregorovič
We investigate several classes of submanifolds of almost quaternionic skew-Hermitian manifolds , including almost symplectic, almost complex, almost pseudo-Hermitia…
math.DG2024
Curvature of quaternionic skew-Hermitian manifolds and bundle constructions
Ioannis Chrysikos, Vicente Cortés, Jan Gregorovič
This articles is devoted to a description of the second-order differential geometry of torsion-free almost quaternionic skew-Hermitian manifolds, that is, of quaternionic skew-Herm…