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@article{1174007, author = {Gregorovič, Jan and Zalabová, Lenka}, article_location = {Boston}, article_number = {3}, doi = {http://dx.doi.org/10.1007/s00031-013-9231-z}, keywords = {parabolic contact geometry; symmetric spaces; homogeneous spaces; invariant geometric structures}, language = {eng}, issn = {1083-4362}, journal = {Transformation Groups}, title = {SYMMETRIC PARABOLIC CONTACT GEOMETRIES AND SYMMETRIC SPACES}, volume = {18}, year = {2013} }
TY - JOUR ID - 1174007 AU - Gregorovič, Jan - Zalabová, Lenka PY - 2013 TI - SYMMETRIC PARABOLIC CONTACT GEOMETRIES AND SYMMETRIC SPACES JF - Transformation Groups VL - 18 IS - 3 SP - 711-737 EP - 711-737 PB - Birkhauser SN - 10834362 KW - parabolic contact geometry KW - symmetric spaces KW - homogeneous spaces KW - invariant geometric structures N2 - 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. ER -
GREGOROVIČ, Jan and Lenka ZALABOVÁ. SYMMETRIC PARABOLIC CONTACT GEOMETRIES AND SYMMETRIC SPACES. \textit{Transformation Groups}. Boston: Birkhauser, 2013, vol.~18, No~3, p.~711-737. ISSN~1083-4362. Available from: https://dx.doi.org/10.1007/s00031-013-9231-z.
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