Parabolic Symmetric Spaces
classification
🧮 math.DG
keywords
geometriesgradedparabolicsymmetriessystemsadmissibleaffinecondition
read the original 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.
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