On connections, geodesics and sprays in synthetic differential geometry

Marta Bunge; Patrice Sawyer

Cahiers de Topologie et Géométrie Différentielle Catégoriques (1984)

  • Volume: 25, Issue: 3, page 221-258
  • ISSN: 1245-530X

How to cite

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Bunge, Marta, and Sawyer, Patrice. "On connections, geodesics and sprays in synthetic differential geometry." Cahiers de Topologie et Géométrie Différentielle Catégoriques 25.3 (1984): 221-258. <http://eudml.org/doc/91347>.

@article{Bunge1984,
author = {Bunge, Marta, Sawyer, Patrice},
journal = {Cahiers de Topologie et Géométrie Différentielle Catégoriques},
keywords = {synthetic differential geometry; short path lifting property; connections; geodesics; spray},
language = {eng},
number = {3},
pages = {221-258},
publisher = {Dunod éditeur, publié avec le concours du CNRS},
title = {On connections, geodesics and sprays in synthetic differential geometry},
url = {http://eudml.org/doc/91347},
volume = {25},
year = {1984},
}

TY - JOUR
AU - Bunge, Marta
AU - Sawyer, Patrice
TI - On connections, geodesics and sprays in synthetic differential geometry
JO - Cahiers de Topologie et Géométrie Différentielle Catégoriques
PY - 1984
PB - Dunod éditeur, publié avec le concours du CNRS
VL - 25
IS - 3
SP - 221
EP - 258
LA - eng
KW - synthetic differential geometry; short path lifting property; connections; geodesics; spray
UR - http://eudml.org/doc/91347
ER -

References

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  1. 1 E. Dubuc & A. Kock, On 1-form classifiers, Aarhus Preprint Series 1981/82, 39. Zbl0519.51010MR739539
  2. 2 C. Godbillon, Géométrie différentielle et mécanique analytique, Hermann, Paris1969. Zbl0174.24602MR242081
  3. 3 A. Kock, Synthetic Differential Geometry, Cambridge Univ. Press, 1981. Zbl0466.51008MR649622
  4. 4 A. Kock & G. Reyes, Connections in formal Differential Geometry, Aarhus Math. Inst. Var. Publ. Series 30, 1979. Zbl0418.18008MR552662
  5. 5 S. Lang, Introduction to differentiable manifolds, Interscience, 1967. Zbl0103.15101
  6. 6 F.W. Lawvere, Categorical Dynamics, in Aarhus Math. Inst. Var. Publ. Series 30, 1979. Zbl0403.18005MR552656
  7. 7 L.N. Patterson, Connections and prolongations, Can. J. Math. XXVII, 4 (1975), 766-791. Zbl0307.53018MR385743
  8. 8 J. Penon, Topologie et intuitionnisme, in: Journées de Faisceaux et Logique, Mai 1981, Univ. Paris-Nord (pré-publications math.), 1982. Zbl0463.18005
  9. 9 W.A. Poor, Differential geometric structures, McGraw Hill, 1981. Zbl0493.53027MR647949
  10. 10 B. Veit Riccioli, Structures on iterated tangent bundles (manuscript), 1981. 

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