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@article{877406,
author = {Zalabová, Lenka},
article_number = {2},
keywords = {Cartan geometries; Parabolic geometries; |1|-graded geometries; Weyl structures; Symmetric spaces},
language = {eng},
issn = {0232-704X},
journal = {Annals of Global Analysis and Geometry},
title = {Parabolic symmetric spaces},
volume = {37},
year = {2010}
}
TY - JOUR
ID - 877406
AU - Zalabová, Lenka
PY - 2010
TI - Parabolic symmetric spaces
JF - Annals of Global Analysis and Geometry
VL - 37
IS - 2
SP - 125-141
EP - 125-141
PB - Springer
SN - 0232704X
KW - Cartan geometries
KW - Parabolic geometries
KW - |1|-graded geometries
KW - Weyl structures
KW - Symmetric spaces
N2 - We study here systems of symmetries on |1|-graded parabolic geometries. We are interested in smooth systems of symmetries, and we discuss non-flat homogeneous |1|-graded geometries. We show the existence of an invariant admissible affine connection under quite weak condition on the system.
ER -
ZALABOVÁ, Lenka. Parabolic symmetric spaces. \textit{Annals of Global Analysis and Geometry}. Springer, vol.~37, No~2, p.~125-141. ISSN~0232-704X. 2010.
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