On the existence of local quaternionic contact geometries
| Authors | |
|---|---|
| Year of publication | 2020 |
| Type | Article in Periodical |
| Magazine / Source | New York Journal of Mathematics |
| MU Faculty or unit | |
| Citation | |
| Web | http://nyjm.albany.edu/j/2020/26-45v.pdf |
| Keywords | quaternionic contact; equivalence problem; Cartan connection; involution |
| Description | We exploit the Cartan-K¨ahler theory to prove the local existence of real analytic quaternionic contact structures for any prescribed values of the respective curvature functions and their covariant derivatives at a given point on a manifold. We show that, in a certain sense, the different real analytic quaternionic contact geometries in 4n + 3 dimensions depend, modulo diffeomorphisms, on 2n + 2 real analytic functions of 2n + 3 variables. |
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