Invariant prolongation of BGG-operators in conformal geometry

Matthias Hammerl

Archivum Mathematicum (2008)

  • Volume: 044, Issue: 5, page 367-384
  • ISSN: 0044-8753

Abstract

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BGG-operators form sequences of invariant differential operators and the first of these is overdetermined. Interesting equations in conformal geometry described by these operators are those for Einstein scales, conformal Killing forms and conformal Killing tensors. We present a deformation procedure of the tractor connection which yields an invariant prolongation of the first operator. The explicit calculation is presented in the case of conformal Killing forms.

How to cite

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Hammerl, Matthias. "Invariant prolongation of BGG-operators in conformal geometry." Archivum Mathematicum 044.5 (2008): 367-384. <http://eudml.org/doc/250507>.

@article{Hammerl2008,
abstract = {BGG-operators form sequences of invariant differential operators and the first of these is overdetermined. Interesting equations in conformal geometry described by these operators are those for Einstein scales, conformal Killing forms and conformal Killing tensors. We present a deformation procedure of the tractor connection which yields an invariant prolongation of the first operator. The explicit calculation is presented in the case of conformal Killing forms.},
author = {Hammerl, Matthias},
journal = {Archivum Mathematicum},
keywords = {conformal geometry; invariant differential operators; overdetermined systems; prolongation; tractor calculus; conformal geometry; invariant differential operator; overdetermined system; prolongation; tractor calculus},
language = {eng},
number = {5},
pages = {367-384},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Invariant prolongation of BGG-operators in conformal geometry},
url = {http://eudml.org/doc/250507},
volume = {044},
year = {2008},
}

TY - JOUR
AU - Hammerl, Matthias
TI - Invariant prolongation of BGG-operators in conformal geometry
JO - Archivum Mathematicum
PY - 2008
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 044
IS - 5
SP - 367
EP - 384
AB - BGG-operators form sequences of invariant differential operators and the first of these is overdetermined. Interesting equations in conformal geometry described by these operators are those for Einstein scales, conformal Killing forms and conformal Killing tensors. We present a deformation procedure of the tractor connection which yields an invariant prolongation of the first operator. The explicit calculation is presented in the case of conformal Killing forms.
LA - eng
KW - conformal geometry; invariant differential operators; overdetermined systems; prolongation; tractor calculus; conformal geometry; invariant differential operator; overdetermined system; prolongation; tractor calculus
UR - http://eudml.org/doc/250507
ER -

References

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