GREGOROVIČ, Jan and Lenka ZALABOVÁ. SYMMETRIC PARABOLIC CONTACT GEOMETRIES AND SYMMETRIC SPACES. Transformation Groups. Boston: Birkhauser, 2013, vol. 18, No 3, p. 711-737. ISSN 1083-4362. doi:10.1007/s00031-013-9231-z.
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Basic information
Authors GREGOROVIČ, Jan (203 Czech Republic, guarantor, belonging to the institution) and Lenka ZALABOVÁ (203 Czech Republic).
Edition Transformation Groups, Boston, Birkhauser, 2013, 1083-4362.
Other information
Original language English
Type of outcome Article in a journal
Field of Study 10101 Pure mathematics
Country of publisher United States of America
Confidentiality degree is not subject to a state or trade secret
Impact factor Impact factor: 0.701
RIV identification code RIV/00216224:14310/13:00067045
Organization unit Faculty of Science
UT WoS 000323903400005
Keywords in English parabolic contact geometry; symmetric spaces; homogeneous spaces; invariant geometric structures
Tags AKR, rivok
Tags International impact, Reviewed
Changed by Changed by: Ing. Andrea Mikešková, učo 137293. Changed: 29/4/2014 16:10.
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.
GD201/09/H012, research and development projectName: Algebraické a geometrické metody a struktury
Investor: Czech Science Foundation, Algebraic and geometric methods and structures
PrintDisplayed: 29/9/2022 00:30