The algebraic theory of moving frames

Anders Kock

Cahiers de Topologie et Géométrie Différentielle Catégoriques (1982)

  • Volume: 23, Issue: 4, page 347-362
  • ISSN: 1245-530X

How to cite

top

Kock, Anders. "The algebraic theory of moving frames." Cahiers de Topologie et Géométrie Différentielle Catégoriques 23.4 (1982): 347-362. <http://eudml.org/doc/91307>.

@article{Kock1982,
author = {Kock, Anders},
journal = {Cahiers de Topologie et Géométrie Différentielle Catégoriques},
keywords = {pregroup; frame; rigid motion of space; pregroupoid; orthonormal frames of Riemannian manifold; coordinate structure},
language = {eng},
number = {4},
pages = {347-362},
publisher = {Dunod éditeur, publié avec le concours du CNRS},
title = {The algebraic theory of moving frames},
url = {http://eudml.org/doc/91307},
volume = {23},
year = {1982},
}

TY - JOUR
AU - Kock, Anders
TI - The algebraic theory of moving frames
JO - Cahiers de Topologie et Géométrie Différentielle Catégoriques
PY - 1982
PB - Dunod éditeur, publié avec le concours du CNRS
VL - 23
IS - 4
SP - 347
EP - 362
LA - eng
KW - pregroup; frame; rigid motion of space; pregroupoid; orthonormal frames of Riemannian manifold; coordinate structure
UR - http://eudml.org/doc/91307
ER -

References

top
  1. 1 R. Baer, Zur Einfuhrung des Scharbegriffs, J. Reine Angew. Math.160 (1929), 199-207. JFM55.0084.03
  2. 2 W. Blaschke, Kinematik und Q uaternionen, D. V. W., Berlin1960. Zbl0098.34701
  3. 3 E. Cartan, Groupes finis et continus et la Géométrie differentielle, Gauthier-Villars, Paris, 1937. 
  4. 4 J. Certaine, The ternary operation (a b c) = ab-1 c of a group, Bull. A. M.S.49 (1943), 869-877. Zbl0061.02305MR9953
  5. 5 C. Ehresmann, Les connexions infinitésimales dans un espace fibré différentiable, Coll. TopologieBruxelle s, C.B.R.M. 1950. Zbl0054.07201MR42768
  6. 6 C. Ehresmann, Catégories structurées, Ann. Sci. Ec. Norm. Sup.80 (1963), 349-426. Zbl0128.02002MR197529
  7. 7 P. Johnstone, Topos Theory, Academic Pre ss, London1977. Zbl0368.18001MR470019
  8. 8 M. Kelly & R. Street, Review of the elements of 2-categories, Cat. Sem. Sydney1972/73, Lecture Notes in Math.420, Springer (1974). Zbl0334.18016MR357542
  9. 9 F. Klein, Vorlesungen über nicht-euklidische Geometrie, Springer, 1928. Zbl0157.27101MR226477
  10. 10 P. Libermann, Sur les prolongements des fibrés principaux..., Analyse Globale, Le s Pre sse s de l'Université de Montréal, 1971. MR356117
  11. 11 S. Mac Lane & G. Birkhoff, Algebra, MacMillan, New York, 1967. Zbl0153.32401MR214415
  12. 12 V.V. Vagner, Ternary algebraic operations in the theory of coordinate structure s, Doklady Akad. Nauk SSSR (N. S.) 81 (1951), 981-984. (In Russian). Zbl0044.04503MR46120

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.