@article{Wasilewicz2022,
abstract = {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.},
author = {Wasilewicz, Michał Andrzej},
journal = {Archivum Mathematicum},
keywords = {parabolic geometries; relative BGG conctruction; relative tractor calculus; Legendrean contact structures; Lagrangean contact structures; invariant differential operators; partial connections},
language = {eng},
number = {5},
pages = {339-347},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Elementary relative tractor calculus for Legendrean contact structures},
url = {http://eudml.org/doc/298904},
volume = {058},
year = {2022},
}
TY - JOUR
AU - Wasilewicz, Michał Andrzej
TI - Elementary relative tractor calculus for Legendrean contact structures
JO - Archivum Mathematicum
PY - 2022
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 058
IS - 5
SP - 339
EP - 347
AB - 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.
LA - eng
KW - parabolic geometries; relative BGG conctruction; relative tractor calculus; Legendrean contact structures; Lagrangean contact structures; invariant differential operators; partial connections
UR - http://eudml.org/doc/298904
ER -
