On frames defined by horizontal spaces

Manuel de León; Ercüment Ortaçgil

Czechoslovak Mathematical Journal (1996)

  • Volume: 46, Issue: 2, page 241-248
  • ISSN: 0011-4642

How to cite

top

León, Manuel de, and Ortaçgil, Ercüment. "On frames defined by horizontal spaces." Czechoslovak Mathematical Journal 46.2 (1996): 241-248. <http://eudml.org/doc/30304>.

@article{León1996,
author = {León, Manuel de, Ortaçgil, Ercüment},
journal = {Czechoslovak Mathematical Journal},
keywords = {holonomic frame bundle; universal connection},
language = {eng},
number = {2},
pages = {241-248},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On frames defined by horizontal spaces},
url = {http://eudml.org/doc/30304},
volume = {46},
year = {1996},
}

TY - JOUR
AU - León, Manuel de
AU - Ortaçgil, Ercüment
TI - On frames defined by horizontal spaces
JO - Czechoslovak Mathematical Journal
PY - 1996
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 46
IS - 2
SP - 241
EP - 248
LA - eng
KW - holonomic frame bundle; universal connection
UR - http://eudml.org/doc/30304
ER -

References

top
  1. On structure equations for second order connections, Differential Geometry and Its Applications, Proc. Conf. Opava (Czechoslovakia), August 24–28, 1992, Silesian University, Opava, 1993, pp. 257–264. (1993) MR1255546
  2. Differential Geometry of Frame Bundles, Mathematics and its Applications, Kluwer, Dordrecht, 1989. (1989) 
  3. 10.1016/0034-4877(93)90008-3, Reports on Mathematical Physics 33 (1993), no. 3, 419–436. (1993) MR1277160DOI10.1016/0034-4877(93)90008-3
  4. Material bodies of higher grade, Comptes Rendus Acad. Sc. Paris 319 Série I (1994), 615–620. (1994) MR1298293
  5. Material bodies, elasticity and differential geometry, Proceedings of the II Fall Workshop on Differential Geometry and its Applications, Barcelona, September 20–21, 1993, Universitat Politénica de Catalunya, 1994, pp. 47–54. (1994) 
  6. The Differential Geometry of Cosserat Media, Proceedings Colloquium on Differential Geometry, July 25–30, 1994, Debrecen, Hungary. 
  7. Tensor fields and connections on cross-sections in the frame bundle of second order, Publ. Inst. Mathématique 43 (57) (1988), 83–87. (1988) 
  8. Connections on holonomic frame bundles of higher order contact and uniform material structures, Research Report No. 4/93, Department of Mathematical Sciences, Portland State University. 
  9. Theory of G -Structures, Publications of the Study Group of Geometry, Vol. I. Tokyo, 1972. (1972) Zbl0235.53035MR0348664
  10. Connections and 1-jet fiber bundles, Rend. Sem. Mat. Univ. Padova 47 (1972), 227–242. (1972) MR0315624
  11. Foundations of Differential Geometry, vol. I, Interscience Publishers, New York, 1963. (1963) MR0152974
  12. Transformations Groups in Differential Geometry, Springer, Berlin-New York, 1972. (1972) MR0355886
  13. Connexions d’ordre supérieur et tenseur de structure, Atti del Convegno Int. di Geometria Differenziale, Bologna, 28–30, September 1967, Ed. Zanichelli, Bologna, 1967, pp. 1–18. (1967) 
  14. Connections in the semiholonomic frame bundle of second order, Rev. Roum. Math. Pures et Appl. XIV (1969), no. 5, 661–672. (1969) Zbl0182.24104MR0248671
  15. On the infinite groups of Lie and Cartan, Ann. Inst. Fourier (Grenoble) 15 (1965), 1–114. (1965) MR0217822
  16. Higher order frames and linear connections, Cahiers de Topologie et Geometrie Differentielle XII (1971), no. 3, 333–371. (1971) Zbl0222.53033MR0307102

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.