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@inproceedings{796220,
author = {Zalabová, Lenka},
address = {USA},
booktitle = {Differential geometry and its applications},
edition = {1.},
keywords = {Cartan geometries; parabolic geometries; almost Grassmannian structures; almost quaternionic structures; symmetric spaces},
language = {eng},
location = {USA},
isbn = {978-981-279-060-6},
pages = {371-381},
publisher = {World Scientific},
title = {Symmetries of almost Grassmannian geometries},
year = {2008}
}
TY - JOUR
ID - 796220
AU - Zalabová, Lenka
PY - 2008
TI - Symmetries of almost Grassmannian geometries
PB - World Scientific
CY - USA
SN - 9789812790606
KW - Cartan geometries
KW - parabolic geometries
KW - almost Grassmannian structures
KW - almost quaternionic structures
KW - symmetric spaces
N2 - We study symmetries of almost Grassmannian and almost quaternionic structures. We generalize the classical definition for locally symmetric spaces and we discuss the existence of symmetries on the homogeneous models. We proves the local flatness of the symmetric geometries for most cases of almost Grassmannian geometries. There are also some more interesting types of almost Grassmannian and almost quaternionic geometries, which can carry some symmetry in the point with nonzero curvature. We show, that there can be at most one symmetry in such point.
ER -
ZALABOVÁ, Lenka. Symmetries of almost Grassmannian geometries. Online. In \textit{Differential geometry and its applications}. 1st ed. USA: World Scientific, 2008. p.~371-381, 10 pp. ISBN~978-981-279-060-6. [citováno 2024-04-24]
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