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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. In \textit{Differential geometry and its applications}. 1. vyd. USA: World Scientific, 2008, s.~371-381, 10 s. ISBN~978-981-279-060-6.
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