On the equivalence of quaternionic contact structures

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Authors

MINCHEV Ivan Minchev SLOVÁK Jan

Year of publication 2018
Type Article in Periodical
Magazine / Source Annals of Global Analysis and Geometry
MU Faculty or unit

Faculty of Science

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.
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