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math.DG2025
Irreducible Killing and conformal Killing tensors on homogeneous plane waves
Jan Gregorovič, Lenka Zalabová
This paper presents a classification of irreducible Killing and conformal Killing 2-tensors on homogeneous plane waves, a specific class of Lorentzian metrics on four-dimensional m…
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…
math.DG2024
The gap phenomenon for conformally related Einstein metrics
Jan Gregorovič, Josef Šilhan
We determine the submaximal dimensions of the spaces of almost Einstein scales and normal conformal Killing fields for connected conformal manifolds. The results depend on the sign…