Remarks on Special Symplectic Connections
Panák, Martin ; Žádník, Vojtěch
Archivum Mathematicum, Tome 044 (2008), p. 491-510 / Harvested from Czech Digital Mathematics Library
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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.

Publié le : 2008-01-01
Classification:  53B15,  53C15,  53D15 
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     author = {Martin Pan\'ak and Vojt\v ech \v Z\'adn\'\i k},
     title = {Remarks on Special Symplectic Connections},
     journal = {Archivum Mathematicum},
     volume = {044},
     year = {2008},
     pages = {491-510},
     zbl = {1212.53113},
     mrnumber = {2501580},
     language = {en},
     url = {http://dml.mathdoc.fr/item/127116}
}

Panák, Martin; Žádník, Vojtěch. Remarks on Special Symplectic Connections. Archivum Mathematicum, Tome 044 (2008) pp. 491-510. http://gdmltest.u-ga.fr/item/127116/

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