First order invariant differential operators for parabolic geometries

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.

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

Language

English

Type of outcome

Stať ve sborníku

Field of Study

10101 Pure mathematics

Country of publisher

France

Confidentiality degree

není předmětem státního či obchodního tajemství

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

---

Abstract

V originále

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.

---

Links

GA201/99/0675, research and development project	Name: 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