Parabolic conformally symplectic structures I; definition and distinguished connections
Parabolic conformally symplectic structures I; definition and distinguished connections
Abstract We introduce a class of first order G -structures, each of which has an underlying almost conformally symplectic structure. There is one such structure for each real simple Lie algebra which is not of type <m:math xmlns:m="http://www.w3.org/1998/Math/MathML"> <m:msub> <m:mi>C</m:mi> <m:mi>n</m:mi> </m:msub> </m:math> {C_{n}} and admits a contact grading. We …