Publication details

SYMMETRIC PARABOLIC CONTACT GEOMETRIES AND SYMMETRIC SPACES

Authors

GREGOROVIČ Jan ZALABOVÁ Lenka

Year of publication 2013
Type Article in Periodical
Magazine / Source Transformation Groups
MU Faculty or unit

Faculty of Science

Citation
Doi http://dx.doi.org/10.1007/s00031-013-9231-z
Field General mathematics
Keywords parabolic contact geometry; symmetric spaces; homogeneous spaces; invariant geometric structures
Description We discuss parabolic contact geometries carrying a smooth system of symmetries. We show that there is a symmetric space such that the parabolic geometry (G -> M, w) is a fibre bundle over this symmetric space if and only if the base manifold M is a homogeneous reflexion space. We investigate the conditions under which there is an invariant geometric structure on this symmetric space induced by the parabolic contact geometry.
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