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
Original name SYMMETRIC PARABOLIC CONTACT GEOMETRIES AND SYMMETRIC SPACES
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
Doi http://dx.doi.org/10.1007/s00031-013-9231-z
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.
Abstract
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.
Links
GD201/09/H012, research and development projectName: Algebraické a geometrické metody a struktury
Investor: Czech Science Foundation, Algebraic and geometric methods and structures
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