Parabolic symmetric spaces

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Authors	ZALABOVÁ Lenka
Year of publication	2010
Type	Article in Periodical
Magazine / Source	Annals of Global Analysis and Geometry
MU Faculty or unit	Faculty of Science
Citation
Field	General mathematics
Keywords	Cartan geometries; Parabolic geometries; \|1\|-graded geometries; Weyl structures; Symmetric spaces
Description	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.
Related projects:	Eduard Čech Center for Algebra and Geometry