The natural operators lifting connections to higher order cotangent bundles

Title:

The natural operators lifting connections to higher order cotangent bundles

Creator:

Mikulski, Włodzimierz M.

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:563d17ff-015a-42f4-a094-ca5761f9a2da
uuid:563d17ff-015a-42f4-a094-ca5761f9a2da

Subject:

classical linear connection and natural operator

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

We prove that the problem of finding all ${\mathcal {M} f_m}$-natural operators ${C\colon Q\rightsquigarrow QT^{r*}}$ lifting classical linear connections $\nabla $ on $m$-manifolds $M$ into classical linear connections $C_M(\nabla )$ on the $r$-th order cotangent bundle $T^{r*}M=J^r(M,\mathbb R )_0$ of $M$ can be reduced to the well known one of describing all $\mathcal {M} f_m$-natural operators $D\colon Q\rightsquigarrow \bigotimes ^pT\otimes \bigotimes ^qT^*$ sending classical linear connections $\nabla $ on $m$-manifolds $M$ into tensor fields $D_M(\nabla )$ of type $(p,q)$ on $M$.

Language:

English

Rights:

http://creativecommons.org/publicdomain/mark/1.0/
policy:public

Coverage:

509-518

Source:

Czechoslovak Mathematical Journal | 2014 Volume:64 | Number:2

Harvested from:

CDK

Metadata only:

false