Publication details

Parabolic symmetric spaces



Year of publication 2010
Type Article in Periodical
Magazine / Source Annals of Global Analysis and Geometry
MU Faculty or unit

Faculty of Science

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.
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