Publication details

Remarks on special symplectic connections


PANÁK Martin ŽÁDNÍK Vojtěch

Year of publication 2008
Type Article in Periodical
Magazine / Source Archivum Mathematicum
MU Faculty or unit

Faculty of Education

Field General mathematics
Keywords special symplectic connections; parabolic contact geometries; Weyl structures and connections
Description The notion of special symplectic connections is closely related to parabolic contact geometries due to the work of M. Cahen and L. Schwachhöfer. We remind their characterization and reinterpret the result in terms of generalized Weyl connections. The aim of this paper is to provide an alternative and more explicit construction of special symplectic connections of three types from the list. This is done by pulling back an ambient linear connection from the total space of a natural scale bundle over the homogeneous model of the corresponding parabolic contact structure.
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