Natural affinors on r -jet prolongation of the tangent bundle

Włodzimierz M. Mikulski

Archivum Mathematicum (1998)

  • Volume: 034, Issue: 2, page 321-328
  • ISSN: 0044-8753

Abstract

top
We deduce that for n 2 and r 1 , every natural affinor on J r T over n -manifolds is of the form λ δ for a real number λ , where δ is the identity affinor on J r T .

How to cite

top

Mikulski, Włodzimierz M.. "Natural affinors on $r$-jet prolongation of the tangent bundle." Archivum Mathematicum 034.2 (1998): 321-328. <http://eudml.org/doc/248194>.

@article{Mikulski1998,
abstract = {We deduce that for $n\ge 2$ and $r\ge 1$, every natural affinor on $J^rT$ over $n$-manifolds is of the form $\lambda \delta $ for a real number $\lambda $, where $\delta $ is the identity affinor on $J^rT$.},
author = {Mikulski, Włodzimierz M.},
journal = {Archivum Mathematicum},
keywords = {natural affinor; jet prolongations; natural affinor; jet prolongations},
language = {eng},
number = {2},
pages = {321-328},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Natural affinors on $r$-jet prolongation of the tangent bundle},
url = {http://eudml.org/doc/248194},
volume = {034},
year = {1998},
}

TY - JOUR
AU - Mikulski, Włodzimierz M.
TI - Natural affinors on $r$-jet prolongation of the tangent bundle
JO - Archivum Mathematicum
PY - 1998
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 034
IS - 2
SP - 321
EP - 328
AB - We deduce that for $n\ge 2$ and $r\ge 1$, every natural affinor on $J^rT$ over $n$-manifolds is of the form $\lambda \delta $ for a real number $\lambda $, where $\delta $ is the identity affinor on $J^rT$.
LA - eng
KW - natural affinor; jet prolongations; natural affinor; jet prolongations
UR - http://eudml.org/doc/248194
ER -

References

top
  1. Natural transformations between T T T * M and T T * T M , Czechoslovak Math. J. 43 (118) 1993, 599-613. Zbl0806.53024MR1258423
  2. Natural affinors on the extended r -th order tangent bundles, Suppl. Rendiconti Circolo Mat. Palermo, 1993. MR1246623
  3. Natural Operations in Differential Geometry, Springer Verlag, Berlin, 1993. MR1202431
  4. Torsion of connections on some natural bundles, Diff. Geom. and Appl. 2 (1992), 1-16. MR1244453
  5. Natural affinors on higher order cotangent bundles, Arch. Math. (Brno) 28 (1992), 175-180. MR1222284
  6. On the order of natural operators and liftings, Ann. Polon. Math. 49 (1988), 169-178. MR0983220

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.