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@article{1394446,
author = {Minchev, Ivan Minchev and Slovák, Jan},
article_number = {3},
doi = {http://dx.doi.org/10.1007/s10455-017-9580-2},
keywords = {Quaternionic contact; Equivalence problem; Cartan connection; Involution},
language = {eng},
issn = {0232-704X},
journal = {Annals of Global Analysis and Geometry},
title = {On the equivalence of quaternionic contact structures},
url = {https://doi.org/10.1007/s10455-017-9580-2},
volume = {53},
year = {2018}
}
TY - JOUR
ID - 1394446
AU - Minchev, Ivan Minchev - Slovák, Jan
PY - 2018
TI - On the equivalence of quaternionic contact structures
JF - Annals of Global Analysis and Geometry
VL - 53
IS - 3
SP - 331-375
EP - 331-375
PB - Springer
SN - 0232704X
KW - Quaternionic contact
KW - Equivalence problem
KW - Cartan connection
KW - Involution
UR - https://doi.org/10.1007/s10455-017-9580-2
L2 - https://doi.org/10.1007/s10455-017-9580-2
N2 - 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.
ER -
MINCHEV, Ivan Minchev a Jan SLOVÁK. On the equivalence of quaternionic contact structures. \textit{Annals of Global Analysis and Geometry}. Springer, 2018, roč.~53, č.~3, s.~331-375. ISSN~0232-704X. Dostupné z: https://dx.doi.org/10.1007/s10455-017-9580-2.
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