论文标题
基本相对拖拉机演算,用于传说中的接触结构
Elementary Relative Tractor Calculus for Legendrean contact structures
论文作者
论文摘要
对于具有传说中(或lagrangean)联系结构$ e \ oplus f \ subset tm $的歧管$ m $,我们为商$ tm/f $ tm $ tm $ oplus f \ oplus f \ subset tm $。这使我们能够开发一个幼稚的相对拖拉机演算,并构建二阶不变差分运算符,事实证明,该操作员是部分连接引起的第一个相对BGG操作员。
For a manifold $M$ endowed with a Legendrean (or Lagrangean) contact structure $E\oplus F \subset TM$, we give an elementary construction of an invariant partial connection on the quotient bundle $TM/F$. This permits us to develop a naïve 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.