On the equivalence of quaternionic contact structures
Differential Geometry
2017-11-13 v2
Abstract
Following the Cartans'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.
Cite
@article{arxiv.1610.09715,
title = {On the equivalence of quaternionic contact structures},
author = {Ivan Minchev and Jan Slovák},
journal= {arXiv preprint arXiv:1610.09715},
year = {2017}
}