Publication details

On the existence of local quaternionic contact geometries

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Year of publication 2020
Type Article in Periodical
Magazine / Source New York Journal of Mathematics
MU Faculty or unit

Faculty of Science

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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