Submaximally symmetric quaternion Hermitian structures
| Authors | |
|---|---|
| Year of publication | 2020 |
| Type | Article in Periodical |
| Magazine / Source | International Journal of Mathematics |
| MU Faculty or unit | |
| Citation | |
| Web | https://doi.org/10.1142/S0129167X20500846 |
| Doi | http://dx.doi.org/10.1142/S0129167X20500846 |
| Keywords | Symmetry dimension; automorphism group; quaternion-Hermitian manifolds; the gap phenomenon; Wolf space; quaternion-Kahler structure |
| Description | 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. |
| Related projects: |