SLOVÁK, Jan and Vladimír SOUČEK. First order invariant differential operators for parabolic geometries. In Seminaires & Congres. France: French Math. Soc., 2000. p. 249-273. ISBN 2-85629-094-9.
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Basic information
Original name First order invariant differential operators for parabolic geometries
Authors SLOVÁK, Jan (203 Czech Republic, guarantor) and Vladimír SOUČEK (203 Czech Republic).
Edition France, Seminaires & Congres, p. 249-273, 2000.
Publisher French Math. Soc.
Other information
Original language English
Type of outcome Proceedings paper
Field of Study 10101 Pure mathematics
Country of publisher France
Confidentiality degree is not subject to a state or trade secret
RIV identification code RIV/00216224:14310/00:00003437
Organization unit Faculty of Science
ISBN 2-85629-094-9
Keywords in English invariant operator; parabolic geometry; restricted jets; Lie theory
Tags invariant operator, Lie theory, parabolic geometry, restricted jets
Changed by Changed by: prof. RNDr. Jan Slovák, DrSc., učo 1424. Changed: 9/12/2004 22:28.
The goal of this paper is to describe explicitly all invariant first order operators on manifolds equipped with parabolic geometries. Both the results and the methods present an essential generalization of Fegan's description of the first order invariant operators on conformal Riemannian manifolds. On the way to the results, we present a short survey on basic structures and properties of parabolic geometries, together with links to further literature.
GA201/99/0675, research and development projectName: Geometrické a topologické struktury v matematické fyzice
Investor: Czech Science Foundation, Geometric and topological structures in mathematical physics
MSM 143100009, plan (intention)Name: Matematické struktury algebry a geometrie
Investor: Ministry of Education, Youth and Sports of the CR, Mathematical structures of algebra and geometry
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