On naturality of the Helmholtz operator

Włodzimierz M. Mikulski

Archivum Mathematicum (2005)

  • Volume: 041, Issue: 2, page 145-149
  • ISSN: 0044-8753

Abstract

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We deduce that all natural operators of the type of the Helmholtz map from the variational calculus in fibered manifolds are the constant multiples of the Helmholtz operator.

How to cite

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Mikulski, Włodzimierz M.. "On naturality of the Helmholtz operator." Archivum Mathematicum 041.2 (2005): 145-149. <http://eudml.org/doc/249506>.

@article{Mikulski2005,
abstract = {We deduce that all natural operators of the type of the Helmholtz map from the variational calculus in fibered manifolds are the constant multiples of the Helmholtz operator.},
author = {Mikulski, Włodzimierz M.},
journal = {Archivum Mathematicum},
keywords = {natural operator; Euler morphism; Helmholtz operator; natural operator; Euler morphism},
language = {eng},
number = {2},
pages = {145-149},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {On naturality of the Helmholtz operator},
url = {http://eudml.org/doc/249506},
volume = {041},
year = {2005},
}

TY - JOUR
AU - Mikulski, Włodzimierz M.
TI - On naturality of the Helmholtz operator
JO - Archivum Mathematicum
PY - 2005
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 041
IS - 2
SP - 145
EP - 149
AB - We deduce that all natural operators of the type of the Helmholtz map from the variational calculus in fibered manifolds are the constant multiples of the Helmholtz operator.
LA - eng
KW - natural operator; Euler morphism; Helmholtz operator; natural operator; Euler morphism
UR - http://eudml.org/doc/249506
ER -

References

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  1. Natural Operations in Differential Geometry, Springer-Verlag Berlin 1993. MR1202431
  2. On the Helmholtz operator for Euler morphisms, Math. Proc. Camb. Phil. Soc. 135 (2003), 277–299. MR2006065

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