@article{CTGDC_1984__25_3_311_0, author = {Kock, Anders and Lavendhomme, Ren\'e}, title = {Strong infinitesimal linearity, with applications to strong difference and affine connections}, journal = {Cahiers de Topologie et G\'eom\'etrie Diff\'erentielle Cat\'egoriques}, volume = {25}, year = {1984}, pages = {311-324}, mrnumber = {786554}, zbl = {0564.18009}, language = {en}, url = {http://dml.mathdoc.fr/item/CTGDC_1984__25_3_311_0} }
Kock, A.; Lavendhomme, R. Strong infinitesimal linearity, with applications to strong difference and affine connections. Cahiers de Topologie et Géométrie Différentielle Catégoriques, Tome 25 (1984) pp. 311-324. http://gdmltest.u-ga.fr/item/CTGDC_1984__25_3_311_0/
1 Objet infinitésimalement linéaire dans un modèle adapté de GDS, in: Géométrie Différentielle Synthétique, ed. G. Reyes, Rapport de Recherches. DMS 80-12, Univ. de Montréal: 1980.
,2 On connections, geodesics and sprays in synthetic differential geometry, Cahiers Top. et Géom. Diff., this issue ; preliminary version in: Category Theoretic Methods in Geometry, Aarhus Var. Publ. Series 35 (1983). | MR 739541 | Zbl 0568.18006
& ,3 Properties of well-adapted models for synthetic differential geometry, J. Pure Appl. Algebra 20 (1981), 55-70. | MR 596153 | Zbl 0487.18006
,4 Synthetic differential geometry, London Math. Soc., Lecture Notes Series 51, Cambridge 1981. | MR 649622 | Zbl 0466.51008
,5 Remarks on connections and sprays, in: Category Theoretic Methods in Geometry, Aarhus Var. Publ. Ser. 35 (1983). | MR 739539 | Zbl 0552.58001
,6 Manifolds in formal differential geometry, in:Applications of Sheaves, Lecture Notes in Math. 753, Springer (1979). | MR 555559 | Zbl 0426.14001
& ,7 Connections in formal differential, geometry, in: Topos Theoretic Methods in Geometry, Aarhus Var. Publ. Ser. 30 (1979). | MR 552655 | Zbl 0418.18008
& ,8 Forms and integration in synthetic differential geometry, Aarhus Preprint Series 31, 1979 -80. | MR 552662 | Zbl 0465.51005
, & ,9 Fundamental vector fields on associated fibre bundles, Casopis pro pest. mat. 102 (1977), 419-425. | MR 482887 | Zbl 0374.58003
,10 On the second tangent bundle and generalized Lie derivatives, Tensor N.S. 38 (1982), 98-102. | MR 832633 | Zbl 0512.58002
,11 Notes sur l'algèbre de Lie d'un groupe de Lie en geometrie différentielle synthétique, Rapport 111, Inst. de Math., Louvain-La-Neuve (1981).
,12 Sur la géométrie des prolongements des espaces fibrés vectoriels, Ann. Inst. Fourier, Grenoble 14 (1964), 145-172. | Numdam | MR 167925 | Zbl 0126.38201
,13 A note on tangent bundles in a category with a ring object, Math. Scand. 42 (1978), 53-63. | MR 500146 | Zbl 0392.18011
& ,14 The method of iterated tangents, with applications in local Riemannian geometry, Pitman 1982. | MR 693620 | Zbl 0478.58002
,