Legendrean接触结构的基本相对牵引器演算

IF 0.5 Q3 MATHEMATICS

Archivum Mathematicum Pub Date : 2022-05-11 DOI:10.5817/AM2022-5-209

M. Wasilewicz

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引用次数: 0

摘要

。对于具有Legendrean(或lagrange)接触结构E⊕F∧TM的流形M，我们给出了商束TM/F上不变部分连接的初等构造。这允许我们开发一个相对牵引器微积分的na¨ıve版本，并构造一个二阶不变微分算子，该算子是由部分连接导出的第一个相对BGG算子。

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Elementary relative tractor calculus for Legendrean contact structures

. For a manifold M endowed with a Legendrean (or Lagrangean) contact structure E ⊕ F ⊂ TM , we give an elementary construction of an invariant partial connection on the quotient bundle TM/F . This permits us to develop a na¨ıve version of relative tractor calculus and to construct a second order invariant diﬀerential operator, which turns out to be the ﬁrst relative BGG operator induced by the partial connection.

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来源期刊

Archivum Mathematicum MATHEMATICS-

CiteScore

0.70

自引率

16.70%

发文量

审稿时长

35 weeks

期刊介绍： Archivum Mathematicum is a mathematical journal which publishes exclusively scientific mathematical papers. The journal, founded in 1965, is published by the Department of Mathematics and Statistics of the Faculty of Science of Masaryk University. A review of each published paper appears in Mathematical Reviews and also in Zentralblatt für Mathematik. The journal is indexed by Scopus.