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

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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

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  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

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