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@article{1373471,
author = {Gregorovič, Jan and Zalabová, Lenka},
article_location = {AMSTERDAM},
article_number = {December},
doi = {http://dx.doi.org/10.1016/j.difgeo.2016.09.008},
keywords = {Homogeneous parabolic geometries; Generalized symmetries; Holonomy reductions; Correspondence and twistor spaces; Invariant distributions; Invariant Weyl connections},
language = {eng},
issn = {0926-2245},
journal = {Differential Geometry and its Applications},
title = {Geometric properties of homogeneous parabolic geometries with generalized symmetries},
volume = {49},
year = {2016}
}
TY - JOUR
ID - 1373471
AU - Gregorovič, Jan - Zalabová, Lenka
PY - 2016
TI - Geometric properties of homogeneous parabolic geometries with generalized symmetries
JF - Differential Geometry and its Applications
VL - 49
IS - December
SP - 388-422
EP - 388-422
PB - Elsevier
SN - 09262245
KW - Homogeneous parabolic geometries
KW - Generalized symmetries
KW - Holonomy reductions
KW - Correspondence and twistor spaces
KW - Invariant distributions
KW - Invariant Weyl connections
N2 - We investigate geometric properties of homogeneous parabolic geometries with generalized symmetries. We show that they can be reduced to a simpler geometric structures and interpret them explicitly. For specific types of parabolic geometries, we prove that the reductions correspond to known generalizations of symmetric spaces. In addition, we illustrate our results on an explicit example and provide a complete classification of possible non-trivial cases.
ER -
GREGOROVIČ, Jan a Lenka ZALABOVÁ. Geometric properties of homogeneous parabolic geometries with generalized symmetries. \textit{Differential Geometry and its Applications}. AMSTERDAM: Elsevier, roč.~49, December, s.~388-422. ISSN~0926-2245. doi:10.1016/j.difgeo.2016.09.008. 2016.
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