Parabolic Symmetric Spaces

Details Parabolic Symmetric Spaces Parabolic Symmetric Spaces

2009-08-06

arxiv.org/abs/0908.0839v1

Annals of Global Analysis and Geometry, Vol. 37, Issue 2,2010, 125-141

Mathematics

Differential Geometry

15 pages

Scientific paper

10.1007/s10455-009-9177-5

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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