| Title:
|
Smooth structures on fibre jet spaces (English) |
| Author:
|
Slovák, Jan |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
36 |
| Issue:
|
3 |
| Year:
|
1986 |
| Pages:
|
358-375 |
| Summary lang:
|
Russian |
| . |
| Category:
|
math |
| . |
| MSC:
|
58A20 |
| idZBL:
|
Zbl 0629.58001 |
| idMR:
|
MR847766 |
| DOI:
|
10.21136/CMJ.1986.102099 |
| . |
| Date available:
|
2008-06-09T15:11:12Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/102099 |
| . |
| Reference:
|
[1] J. Boman: Differentiability of a function and of its composition with functions of one variable.Math. Scand. 20, 1967, p. 249-268. MR 0237728, 10.7146/math.scand.a-10835 |
| Reference:
|
[2] D. B. A. Epstein W. P. Thurston: Transformation groups and natural bundles.Proc. London Math. Soc. III, 38 (1979), 219-238. MR 0531161 |
| Reference:
|
[3] A. Dekret: Prolognation of natural bundles.to appear. MR 1409884 |
| Reference:
|
[4] A. Frölicher: Durch Monoide erzeugte kartesisch abgeschlossene Kategorien.Seminarber. Fachbereich Math. Fernuniv. Hagen 5 (1979), pp. 7-48. |
| Reference:
|
[5] A. Frölicher: Smooth structures.Category theory (Gummersbach, 1981), pp. 69-81, Lecture Notes in Math., 962, Springer, Berlin-New York, 1982. MR 0682945, 10.1007/BFb0066887 |
| Reference:
|
[6] A. Frölicher: Cartesian closed categories and analysis of smooth maps.Proceedings of the workshop on categories and foundation of continuum physics, Buffalo, May 17-21, 1982, to appear. MR 0842916 |
| Reference:
|
[7] J. Janyška: Geometrical properties of prolongation functors.Čas. pěst. mat., 110 (1985), 77-86. MR 0791280 |
| Reference:
|
[8] J. Janyška: Geometrical prolongation functors and natural operations with connections.(in Czech), Ph. D. thesis. |
| Reference:
|
[9] I. Kolář: Canonical forms on the prolongations of principal fibre bundles.Rev. Roumaine math. Pures Appl., 1971, 76, 1091-1106. MR 0301668 |
| Reference:
|
[10] I. Kolář: Prolongations of generalized connections.Colloquia mathematica societatis János Bolyai, 31. Differential Geometry, Budapest 1979, pp. 317-325. MR 0706928 |
| Reference:
|
[11] I. Kolář: Higher order absolute differentiation with respect to generalized connections.Differential geometry, Banach center publications, Vol. 12, Warsaw 1984, pp. 153-161. MR 0961078, 10.4064/-12-1-153-161 |
| Reference:
|
[12] D. Krupka: Elementary theory of differential invariants.Arch. Math. (Brno), XIV (1978), 207-214. Zbl 0428.58002, MR 0512763 |
| Reference:
|
[13] A. Nijenhuis: Natural bundles and their general properties.Diff. Geom. in honour of K. Yano, Tokyo 1972, 317-334. Zbl 0246.53018, MR 0380862 |
| Reference:
|
[14] R. S. Palais C. L. Terng: Natural bundles have finite order.Topology 16 (1977), 211 - 211. MR 0467787 |
| . |
