Elementary relative tractor calculus for Legendrean contact structures
| Autor: | Michał Andrzej Wasilewicz |
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| Rok vydání: | 2022 |
| Předmět: | |
| Zdroj: | Archivum Mathematicum. :339-347 |
| ISSN: | 1212-5059 0044-8753 |
| DOI: | 10.5817/am2022-5-339 |
| Popis: | 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 na\"{i}ve 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. Comment: 8 pages, v2: corrected typos |
| Databáze: | OpenAIRE |
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