Elementary relative tractor calculus for Legendrean contact structures
نویسندگان
چکیده
For a manifold $M$ endowed with Legendrean (or Lagrangean) contact structure $E\oplus F \subset TM$, we give an elementary construction of invariant partial connection on the quotient bundle $TM/F$. This permits us to develop naïve version relative tractor calculus and construct second order differential operator, which turns out be first BGG operator induced by connection.
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ژورنال
عنوان ژورنال: Archivum mathematicum
سال: 2022
ISSN: ['0044-8753', '1212-5059']
DOI: https://doi.org/10.5817/am2022-5-339