Natural liftings of connections to the r-th order bundle

• Autorzy: Mikulski W.
• Języki publikacji: EN

Abstrakty

EN

We describe all natural operators A lifting a clasiccal linear connection on an m-dimensional manifold M into a classical linear conection A() on the r-th order frame bundle LrM = invJr/0 (Rm,M).

Słowa kluczowe

EN

linear connection; natural bundle; natural operator; jet

PL

koneksja liniowa; pęk prostych; operator naturalny

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2007
• Tom: Vol. 40, nr 2
• Strony: 481--484
• Opis fizyczny: Bibliogr. 3 poz.

Twórcy

autor

Mikulski W.

• Institute of Mathematics Jagiellonian University, Reymonta 4, 30-059 Kraków, Poland,

Bibliografia

• [1] I. Kolař, P. W. Michor, J. Slovák, Natural Operations in Differential Geometry, Springer Verlag 1993.
• [2] A. Morimoto, Liftings of some type of tensor fields and connections to the tangent bundle of pr-velocities, Nagoya Math. J. 40 (1970), 13-31.
• [3] M. Sekizawa, Natural transformations of symmetric affine connections on manifolds to metric on linear frame bundles: a classification, Monatsch. Math. 105 (1988) (3),229-243.