| Title:
|
Natural transformations in differential geometry (English) |
| Author:
|
Kainz, Gerd |
| Author:
|
Michor, Peter W. |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
37 |
| Issue:
|
4 |
| Year:
|
1987 |
| Pages:
|
584-607 |
| . |
| Category:
|
math |
| . |
| MSC:
|
53C99 |
| MSC:
|
58A05 |
| idZBL:
|
Zbl 0654.58001 |
| idMR:
|
MR913992 |
| DOI:
|
10.21136/CMJ.1987.102187 |
| . |
| Date available:
|
2008-06-09T15:18:23Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/102187 |
| . |
| Reference:
|
[1] H. Federer: Geometric measure theory.Grundlehren Band 153, Springer Verlag 1969. Zbl 0176.00801, MR 0257325 |
| Reference:
|
[2] D. B. A. Epstein W. P. Thurston: Transformation groups and natural bundles.Proc. London Math. Soc. (III), 38 (1979), 219-236. MR 0531161 |
| Reference:
|
[3] A. Kock: Synthetic differential geometry.London Math. Society, Lecture Note Series 51, 1981. Zbl 0487.18006, MR 0649622 |
| Reference:
|
[4] I. Kolář: Natural transformations of the second tangent functor into itself.Arch. Math. (Brno) 4, 1984. MR 0784868 |
| Reference:
|
[5] A. Kriegl: Die richtigen Räume für Analysis im Unendlichdimensionalen.Monatshefte Math. 94 (1982), 109-124. MR 0678046, 10.1007/BF01301929 |
| Reference:
|
[6] I. Moerdijk K. E. Reyes: The tangent functor category revisited.Preprint, Amsterdam 1983. |
| Reference:
|
[7] I. Moerdijk С. E. Reyes: $C^∞$-rings.Preprint Montréal 1984. |
| Reference:
|
[8] В. L. Reinhart: Differential geometry of foliations.Ergebnisse 99, Springer-Verlag 1983. Zbl 0506.53018, MR 0705126 |
| Reference:
|
[9] I. Rosický: Abstract tangent functors.Preprint Brno 1984. MR 0800500 |
| Reference:
|
[10] S. Šwierczkowski: A description of the tangent functor category.Coll. Math. 31 (1974). MR 0379628 |
| Reference:
|
[11] С. L. Terng: Natural vector bundles and natural differential operators.Amer. J. Math. 100, 775-828. Zbl 0422.58001, MR 0509074 |
| Reference:
|
[12] A. Vanžurová: On geometry of the third tangent bundle.Acta Univ. Olom. 82 (1985). MR 0879025 |
| Reference:
|
[13] A. Weil: Théorie des points proches sur les variétés differentiables.in Colloq. Top et Geo. Diff., Strassbourg 1953, 111-117. Zbl 0053.24903, MR 0061455 |
| Reference:
|
[14] J. E. White: The method of iterated tangents with applications in local Riemannian geometry.Pitman 1982. Zbl 0478.58002, MR 0693620 |
| Reference:
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[15] David J. Eck: Product preserving functors on smooth manifolds.preprint 1985. MR 0857563 |
| Reference:
|
[16] O. O. Luciano: Categories of multiplicative functors and Morimoto's Conjecture.Preprint 1986. |
| . |
