Geodesic
Remarks on Special Symplectic Connections
Archivum mathematicum, Tome 44 (2008) no. 5, pp. 491-510

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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.
Classification : 53B15, 53C15, 53D15
Keywords: special symplectic connections; parabolic contact geometries; Weyl structures and connections 
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     author = {Pan\'ak, Martin and \v{Z}\'adn{\'\i}k, Vojt\v{e}ch},
     title = {Remarks on {Special} {Symplectic} {Connections}},
     journal = {Archivum mathematicum},
     pages = {491--510},
     publisher = {mathdoc},
     volume = {44},
     number = {5},
     year = {2008},
     mrnumber = {2501580},
     zbl = {1212.53113},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ARM_2008__44_5_a10/}
}
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Panák, Martin; Žádník, Vojtěch. Remarks on Special Symplectic Connections. Archivum mathematicum, Tome 44 (2008) no. 5, pp. 491-510. http://geodesic.mathdoc.fr/item/ARM_2008__44_5_a10/