Informace o publikaci
Submaximally symmetric quaternion Hermitian structures
| Autoři | |
|---|---|
| Rok publikování | 2020 |
| Druh | Článek v odborném periodiku |
| Časopis / Zdroj | International Journal of Mathematics |
| Fakulta / Pracoviště MU | |
| Citace | |
| www | https://doi.org/10.1142/S0129167X20500846 |
| Doi | http://dx.doi.org/10.1142/S0129167X20500846 |
| Klíčová slova | Symmetry dimension; automorphism group; quaternion-Hermitian manifolds; the gap phenomenon; Wolf space; quaternion-Kahler structure |
| Popis | We consider and resolve the gap problem for almost quaternion-Hermitian structures, i.e. we determine the maximal and submaximal symmetry dimensions, both for Lie algebras and Lie groups, in the class of almost quaternion-Hermitian manifolds. We classify all structures with such symmetry dimensions. Geometric properties of the submaximally symmetric spaces are studied, in particular, we identify locally conformally quaternion-Kahler structures as well as quaternion-Kahler with torsion. |
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