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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Communicated by O. Kowalski (Prague).
This paper is dedicated to Peter Michor on the occasion of his 60th birthday.
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Zalabová, L. Parabolic symmetric spaces. Ann Glob Anal Geom 37, 125–141 (2010). https://doi.org/10.1007/s10455-009-9177-5
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DOI: https://doi.org/10.1007/s10455-009-9177-5