Filters
On the torsion of linear higher order connections
For a linear r-th order connection on the tangent bundle we characterize geometrically its integrability in the sense of the theory of higher order G-structures. Our main tool is...
BA - Obecná matematika
- 2003 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
On the torsion-free connections on higher order frame bundles
Using r-jets of flows of vector fields, we deduce that every torsion free linear r-th order connection on the tangent bundle of a manifold M determines a reduction of the (r<...
BA - Obecná matematika
- 2005 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Torsions of connections on higher order tangent bundles
The torsion of a connection on a natural bundle is defined as the Frolicher-Nijenhuis bracket of some natural affinor and the connection itself. Using the complete description of all natural affinors on r-th
BA - Obecná matematika
- 2001 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Connections on higher order frame bundles and their gauge analogies
We present a survey of the basic properties of connections on the r-th order frame bundle of a manifold. Special attention is paid to the torsion and torsion-free connections. Connections...
BA - Obecná matematika
- 2009 •
- C
Rok uplatnění
C - Kapitola v odborné knize
Tangent structures: sector-forms, jets and connections
To define a higher order connection on a fibered manifold one can use the sections of nonholonomic jet prolongations. However, a more natural approach seems to be the one assuming the structure of a higher-orde...
BA - Obecná matematika
- 2012 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Relations between linear connections on the tangent bundle and connections on the jet bundle of a fibred manifold
BA - Obecná matematika
- 1996 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Flow prolongation of some tangent valued forms
We study the prolongation of semibasic projectable tangent valued forms on fibered manifolds with respect to a bundle functor on the local isomorphisms that is based on the flow prolongation of vector fields and uses an auxiliary
BA - Obecná matematika
- 2008 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
On the gauge version of exponential map
For every point u of a principal bundle P over M, we construct a local map of the tangent space of P at u into P. We clarify how these map can be used in the theory of gauge natural operators....
BA - Obecná matematika
- 2009 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Higher order valued reduction theorems for classical connections
We generalize reduction theorems for classical connections to operators with values in $k$-th order natural bundles. Using the 2nd order valued reduction theorems we classify all (0,2)-tensor fields on the...
BA - Obecná matematika
- 2005 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Higher order valued reduction theorems for general linear connections
$-jets of general linear connections and on the $r$-jets of tensor fields with values in gauge-natural bundles of order $kge 1$, $s_1+2ge s_2$, $s_1,s_2ge r-1ge k-2$, canThe reduction theorems for...
BA - Obecná matematika
- 2004 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
- 1 - 10 out of 158 492