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@article{816191,
author = {Panák, Martin and Žádník, Vojtěch},
article_location = {Brno},
article_number = {5},
keywords = {special symplectic connections; parabolic contact geometries; Weyl structures and connections},
language = {eng},
issn = {0044-8753},
journal = {Archivum Mathematicum},
title = {Remarks on special symplectic connections},
url = {http://arxiv.org/abs/0804.0339},
volume = {44},
year = {2008}
}
TY - JOUR
ID - 816191
AU - Panák, Martin - Žádník, Vojtěch
PY - 2008
TI - Remarks on special symplectic connections
JF - Archivum Mathematicum
VL - 44
IS - 5
SP - 491-510
EP - 491-510
PB - Masaryk University
SN - 00448753
KW - special symplectic connections
KW - parabolic contact geometries
KW - Weyl structures and connections
UR - http://arxiv.org/abs/0804.0339
N2 - 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.
ER -
PANÁK, Martin a Vojtěch ŽÁDNÍK. Remarks on special symplectic connections. Online. \textit{Archivum Mathematicum}. Brno: Masaryk University, 2008, roč.~44, č.~5, s.~491-510. ISSN~0044-8753. [citováno 2024-04-23]
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