On naturality of the Helmholtz operator
Mikulski, Włodzimierz M.
Archivum Mathematicum, Tome 041 (2005), p. 145-149 / Harvested from Czech Digital Mathematics Library
Access to full text
Full (PDF)

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.

Publié le : 2005-01-01
Classification:  58A20,  58A32 
@article{107944,
     author = {W\l odzimierz M. Mikulski},
     title = {On naturality of the Helmholtz operator},
     journal = {Archivum Mathematicum},
     volume = {041},
     year = {2005},
     pages = {145-149},
     zbl = {1112.58004},
     mrnumber = {2164663},
     language = {en},
     url = {http://dml.mathdoc.fr/item/107944}
}

Mikulski, Włodzimierz M. On naturality of the Helmholtz operator. Archivum Mathematicum, Tome 041 (2005) pp. 145-149. http://gdmltest.u-ga.fr/item/107944/

Natural Operations in Differential Geometry, Springer-Verlag Berlin 1993. | MR 1202431

On the Helmholtz operator for Euler morphisms, Math. Proc. Camb. Phil. Soc. 135 (2003), 277–299. | MR 2006065