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arXiv · 1711.09420

On the existence of local quaternionic contact geometries

Ivan Minchev·Jan Slovák
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Abstract

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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Ivan Minchev, Jan Slovák. 2017-11-26. On the existence of local quaternionic contact geometries. https://arxiv.org/abs/1711.09420

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