Lifts of derivations to the frame bundle

Manuel de León; Modesto R. Salgado

Czechoslovak Mathematical Journal (1987)

  • Volume: 37, Issue: 1, page 42-50
  • ISSN: 0011-4642

How to cite

top

de León, Manuel, and Salgado, Modesto R.. "Lifts of derivations to the frame bundle." Czechoslovak Mathematical Journal 37.1 (1987): 42-50. <http://eudml.org/doc/13619>.

@article{deLeón1987,
author = {de León, Manuel, Salgado, Modesto R.},
journal = {Czechoslovak Mathematical Journal},
keywords = {jet prolongation; principal connection; frame bundle; complete lift; horizontal lift},
language = {eng},
number = {1},
pages = {42-50},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Lifts of derivations to the frame bundle},
url = {http://eudml.org/doc/13619},
volume = {37},
year = {1987},
}

TY - JOUR
AU - de León, Manuel
AU - Salgado, Modesto R.
TI - Lifts of derivations to the frame bundle
JO - Czechoslovak Mathematical Journal
PY - 1987
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 37
IS - 1
SP - 42
EP - 50
LA - eng
KW - jet prolongation; principal connection; frame bundle; complete lift; horizontal lift
UR - http://eudml.org/doc/13619
ER -

References

top
  1. L. A. Cordero M. de Leon, 10.1007/BF02844834, Rend. Cir. Mat. Palermo, 32, (1983), 236-271. (1983) MR0729099DOI10.1007/BF02844834
  2. L. A. Cordero M. de Leon, Horizontal lifts of connections to the frame bundle, Boll. Un. Mat. Ital. (6) 3-B, (1984), 223-240. (1984) MR0744440
  3. J. J. Etayo, On a complete lifting of derivations, Tensor N. S. 38, (1982), 169-178. (1982) Zbl0504.53055MR0832645
  4. J. Gancarzewicz, Complete lifts of tensor fields of type (1, k) to natural bundles, Zeszyty Naukowe UJ, Prace Matematyczne, 23, (1982), 51 - 84. (1982) Zbl0547.55014MR0670571
  5. S. Kobayashi K. Nomizu, Foundations of Differential Geometry Vol. 1, Interscience Publ., New York, 1963. (1963) MR0152974
  6. K. P. Моk, Complete lifts of tensor fields and connections to the frame bundle, Proc. London Math. Soc. 32, (1979), 72-88. (1979) MR0520973
  7. K. Yano S. Ishihara, Tangent and Cotangent Bundles, Differential Geometry. Marcel Dekker, New Yor., 1973. (1973) MR0350650
  8. С. Youen, 10.2996/kmj/1138847439, Kodai Math. Sem. Rep., 28, (1977), 182-196. (1977) DOI10.2996/kmj/1138847439

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.