| Title:
|
On the uniqueness of some differential invariants: $d$, $[,]$, $\nabla$ (English) |
| Author:
|
Krupka, Demeter |
| Author:
|
Mikolášová, Věra |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
34 |
| Issue:
|
4 |
| Year:
|
1984 |
| Pages:
|
588-597 |
| Summary lang:
|
Russian |
| . |
| Category:
|
math |
| . |
| MSC:
|
53A55 |
| MSC:
|
58A20 |
| MSC:
|
58G35 |
| idZBL:
|
Zbl 0571.53009 |
| idMR:
|
MR764440 |
| DOI:
|
10.21136/CMJ.1984.101984 |
| . |
| Date available:
|
2008-06-09T15:02:37Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/101984 |
| . |
| Reference:
|
[1] R. L. Bishop R. J. Crittenden: Geometry of Manifolds.Academic Press, New York and London, 1964. MR 0169148 |
| Reference:
|
[2] J. A. Dieudonné J. B. Carrel: Invariant Theory, Old and New.Academic Press, New York and London, 1971. MR 0279102 |
| Reference:
|
[3] D. B. Epstein: Natural tensors on Riemannian manifolds.J. Differential Geom. 10 (1975), 631-645. Zbl 0321.53039, MR 0415531, 10.4310/jdg/1214433166 |
| Reference:
|
[4] I. Kolář: On the prolongations of geometric object fields.An. Sti. Univ. "Al. I. Cuza'' Iasi, 17 (1971), 437-446. MR 0305278 |
| Reference:
|
[5] D. Krupka: Differential Invariants.Lecture Notes, Faculty of Science, Purkyně University, Brno, 1979 (preprint). |
| Reference:
|
[6] D. Krupka: Elementary theory of differential invariants.Arch. Math. XIV (1978), 207-214. Zbl 0428.58002, MR 0512763 |
| Reference:
|
[7] D. Krupka: Local invariants of a linear connection.Colloquia Mathematica Societatis Janos Bolyai, 31. Differential Geometry, Budapest (Hungary), 1979, North-Holland, 1982, 349-369. MR 0706930 |
| Reference:
|
[8] D. Krupka: Reducibility theorems for differentiable liftings in fiber bundles.Arch. Math. XV (1979) 93-106. Zbl 0439.55009, MR 0563142 |
| Reference:
|
[9] V. Mikolášová: On the functional independence of scalar invariants of curvature for dimensions n = 2, 3, 4.Math. Slovaca 32, 1982, 349-354. MR 0676570 |
| Reference:
|
[10] A. Nijenhuis: Natural bundles and their general properties.Differential Geometry, in honour of K. Yano, Kinokunyia, Tokyo, 1972, 317-334. Zbl 0246.53018, MR 0380862 |
| Reference:
|
[11] R. S. Palais: Natural operations on differential forms.Trans. Amer. Math. Soc. 92 (1959), 125-141. Zbl 0092.30802, MR 0116352, 10.1090/S0002-9947-1959-0116352-7 |
| Reference:
|
[12] R. S. Palais C. L. Terng: Natural bundles have finite order.Topology 16 (1977), 271 - 277. MR 0467787, 10.1016/0040-9383(77)90008-8 |
| Reference:
|
[13] P. Stredder: Natural differential operators on Riemannian manifolds and representations of the orthogonal and special orthogonal groups.J. Differential Geom. 10 (1975), 647-660. Zbl 0318.53046, MR 0415692, 10.4310/jdg/1214433167 |
| Reference:
|
[14] С. L. Terng: Natural vector bundles and natural differential operators.Amer. J. Math. 100 (1978), 775-828. Zbl 0422.58001, MR 0509074, 10.2307/2373910 |
| . |
