Parabolic Symmetric Spaces

Abstract

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.

15 pages

References in corpus (1)

• Symmetries of Parabolic Geometries

Cited by in corpus (4)

• General construction of symmetric parabolic structures
• Notes on symmetric conformal geometries
• Classification of invariant AHS--structures on semisimple locally symmetric spaces
• Local Generalized Symmetries and Locally Symmetric Parabolic Geometries