Liftings of 1-forms to ( J r T * ) *

Włodzimierz M. Mikulski

Colloquium Mathematicae (2002)

  • Volume: 91, Issue: 1, page 69-77
  • ISSN: 0010-1354

Abstract

top
Let J r T * M be the r-jet prolongation of the cotangent bundle of an n-dimensional manifold M and let ( J r T * M ) * be the dual vector bundle. For natural numbers r and n, a complete classification of all linear natural operators lifting 1-forms from M to 1-forms on ( J r T * M ) * is given.

How to cite

top

Włodzimierz M. Mikulski. "Liftings of 1-forms to $(J^{r}T*)*$." Colloquium Mathematicae 91.1 (2002): 69-77. <http://eudml.org/doc/284257>.

@article{WłodzimierzM2002,
abstract = {Let $J^\{r\}T*M$ be the r-jet prolongation of the cotangent bundle of an n-dimensional manifold M and let $(J^\{r\}T*M)*$ be the dual vector bundle. For natural numbers r and n, a complete classification of all linear natural operators lifting 1-forms from M to 1-forms on $(J^\{r\}T*M)*$ is given.},
author = {Włodzimierz M. Mikulski},
journal = {Colloquium Mathematicae},
keywords = {natural bundle; natural operator; linear natural transformations},
language = {eng},
number = {1},
pages = {69-77},
title = {Liftings of 1-forms to $(J^\{r\}T*)*$},
url = {http://eudml.org/doc/284257},
volume = {91},
year = {2002},
}

TY - JOUR
AU - Włodzimierz M. Mikulski
TI - Liftings of 1-forms to $(J^{r}T*)*$
JO - Colloquium Mathematicae
PY - 2002
VL - 91
IS - 1
SP - 69
EP - 77
AB - Let $J^{r}T*M$ be the r-jet prolongation of the cotangent bundle of an n-dimensional manifold M and let $(J^{r}T*M)*$ be the dual vector bundle. For natural numbers r and n, a complete classification of all linear natural operators lifting 1-forms from M to 1-forms on $(J^{r}T*M)*$ is given.
LA - eng
KW - natural bundle; natural operator; linear natural transformations
UR - http://eudml.org/doc/284257
ER -

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.