First order invariant differential operators for parabolic geometries

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Authors

SLOVÁK Jan SOUČEK Vladimír

Year of publication 2000
Type Article in Proceedings
Conference Seminaires & Congres
MU Faculty or unit

Faculty of Science

Citation
Field General mathematics
Keywords invariant operator; parabolic geometry; restricted jets; Lie theory
Description 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.
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