Infinitesimal affine transformations of the second order tangent bundle with horizontal lift connection (Q763522)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Infinitesimal affine transformations of the second order tangent bundle with horizontal lift connection |
scientific article; zbMATH DE number 6013726
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Infinitesimal affine transformations of the second order tangent bundle with horizontal lift connection |
scientific article; zbMATH DE number 6013726 |
Statements
Infinitesimal affine transformations of the second order tangent bundle with horizontal lift connection (English)
0 references
12 March 2012
0 references
The aim of this paper is to obtain a canonical expansion of an infinitesimal affine transformation of the second order tangent bundle with horizontal lift connection. The authors establish necessary and sufficient conditions under which a vector field is an infinitesimal affine transformation. A horizontal lift of a linear connection to a second order Weil bundle is constructed.
0 references
second order tangent bundle
0 references
linear connection
0 references
horizontal lift of a linear connection
0 references
infinitesimal affine transformation
0 references
second order Weil bundle
0 references
