@article{10_21136_CMJ_1984_101984,
author = {Krupka, Demeter and Mikol\'a\v{s}ov\'a, V\v{e}ra},
title = {On the uniqueness of some differential invariants: $d$, $[,]$, $\nabla$},
journal = {Czechoslovak Mathematical Journal},
pages = {588--597},
year = {1984},
volume = {34},
number = {4},
doi = {10.21136/CMJ.1984.101984},
mrnumber = {764440},
zbl = {0571.53009},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.21136/CMJ.1984.101984/}
}
TY - JOUR AU - Krupka, Demeter AU - Mikolášová, Věra TI - On the uniqueness of some differential invariants: $d$, $[,]$, $\nabla$ JO - Czechoslovak Mathematical Journal PY - 1984 SP - 588 EP - 597 VL - 34 IS - 4 UR - http://geodesic.mathdoc.fr/articles/10.21136/CMJ.1984.101984/ DO - 10.21136/CMJ.1984.101984 LA - en ID - 10_21136_CMJ_1984_101984 ER -
%0 Journal Article %A Krupka, Demeter %A Mikolášová, Věra %T On the uniqueness of some differential invariants: $d$, $[,]$, $\nabla$ %J Czechoslovak Mathematical Journal %D 1984 %P 588-597 %V 34 %N 4 %U http://geodesic.mathdoc.fr/articles/10.21136/CMJ.1984.101984/ %R 10.21136/CMJ.1984.101984 %G en %F 10_21136_CMJ_1984_101984
Krupka, Demeter; Mikolášová, Věra. On the uniqueness of some differential invariants: $d$, $[,]$, $\nabla$. Czechoslovak Mathematical Journal, Tome 34 (1984) no. 4, pp. 588-597. doi: 10.21136/CMJ.1984.101984
[1] R. L. Bishop R. J. Crittenden: Geometry of Manifolds. Academic Press, New York and London, 1964. | MR
[2] J. A. Dieudonné J. B. Carrel: Invariant Theory, Old and New. Academic Press, New York and London, 1971. | MR
[3] D. B. Epstein: Natural tensors on Riemannian manifolds. J. Differential Geom. 10 (1975), 631-645. | DOI | MR | Zbl
[4] I. Kolář: On the prolongations of geometric object fields. An. Sti. Univ. "Al. I. Cuza'' Iasi, 17 (1971), 437-446. | MR
[5] D. Krupka: Differential Invariants. Lecture Notes, Faculty of Science, Purkyně University, Brno, 1979 (preprint).
[6] D. Krupka: Elementary theory of differential invariants. Arch. Math. XIV (1978), 207-214. | MR | Zbl
[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
[8] D. Krupka: Reducibility theorems for differentiable liftings in fiber bundles. Arch. Math. XV (1979) 93-106. | MR | Zbl
[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
[10] A. Nijenhuis: Natural bundles and their general properties. Differential Geometry, in honour of K. Yano, Kinokunyia, Tokyo, 1972, 317-334. | MR | Zbl
[11] R. S. Palais: Natural operations on differential forms. Trans. Amer. Math. Soc. 92 (1959), 125-141. | DOI | MR | Zbl
[12] R. S. Palais C. L. Terng: Natural bundles have finite order. Topology 16 (1977), 271 - 277. | DOI | MR
[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. | DOI | MR | Zbl
[14] С. L. Terng: Natural vector bundles and natural differential operators. Amer. J. Math. 100 (1978), 775-828. | DOI | MR | Zbl
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