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@article{1681927, author = {Minchev, Ivan and Slovák, Jan}, article_location = {New York}, article_number = {2020}, keywords = {quaternionic contact; equivalence problem; Cartan connection; involution}, language = {eng}, issn = {1076-9803}, journal = {New York Journal of Mathematics}, title = {On the existence of local quaternionic contact geometries}, url = {http://nyjm.albany.edu/j/2020/26-45v.pdf}, volume = {26}, year = {2020} }
TY - JOUR ID - 1681927 AU - Minchev, Ivan - Slovák, Jan PY - 2020 TI - On the existence of local quaternionic contact geometries JF - New York Journal of Mathematics VL - 26 IS - 2020 SP - 1093-1129 EP - 1093-1129 PB - Electronic Journals Project SN - 10769803 KW - quaternionic contact KW - equivalence problem KW - Cartan connection KW - involution UR - http://nyjm.albany.edu/j/2020/26-45v.pdf L2 - http://nyjm.albany.edu/j/2020/26-45v.pdf N2 - 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. ER -
MINCHEV, Ivan a Jan SLOVÁK. On the existence of local quaternionic contact geometries. \textit{New York Journal of Mathematics}. New York: Electronic Journals Project, roč.~26, č.~2020, s.~1093-1129. ISSN~1076-9803. 2020.
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