On the equivalence of quaternionic contact structures
| Authors | |
|---|---|
| Year of publication | 2018 |
| Type | Article in Periodical |
| Magazine / Source | Annals of Global Analysis and Geometry |
| MU Faculty or unit | |
| Citation | |
| Web | https://doi.org/10.1007/s10455-017-9580-2 |
| Doi | http://dx.doi.org/10.1007/s10455-017-9580-2 |
| Field | General mathematics |
| Keywords | Quaternionic contact; Equivalence problem; Cartan connection; Involution |
| Attached files | |
| Description | Following the Cartan’s original method of equivalence supported by methods of parabolic geometry, we provide a complete solution for the equivalence problem of quaternionic contact structures, that is, the problem of finding a complete system of differential invariants for two quaternionic contact manifolds to be locally diffeomorphic. This includes an explicit construction of the corresponding Cartan geometry and detailed information on all curvature components. |
| Related projects: |