Geodesic
On natural operations with linear connections
Czechoslovak Mathematical Journal, Tome 35 (1985) no. 1, pp. 106-115

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MR Zbl
DOI : 10.21136/CMJ.1985.102000
Classification : 53C05, 58A20 
Janyška, Josef. On natural operations with linear connections. Czechoslovak Mathematical Journal, Tome 35 (1985) no. 1, pp. 106-115. doi: 10.21136/CMJ.1985.102000
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[1] C. Ehresmann: Sur les connexions d'ordre supérieur. Atti del V° Congresso dell'Unione Matematica Italiana, 1955, Roma Cremonese, 344-346.

[2] С. T. J. Dodson M. S. Radivoiovici: Tangent and frame bundles of order two. Analele stiintifice ale Universitatii "Al. I. Cuza" din Iasi, Tomul XXVIII, s. I a, 1982, f. 1, 63 - 71. | MR

[3] H. Gollek: Anwendungen der Jet-Theorie auf Faserbündel und Liesche Transformationsgruppen. Math. Nachr. 53, 1972, 161-180. | DOI | MR | Zbl

[4] J. Janyška I. Kolář: Globally defined smooth homogeneous functions. (in Czech), lecture notes, Brno 1983.

[5] J. Janyška: Geometrical properties of prolongation functors. to appear. | MR

[6] S. Kobayashi K. Nomizu: Foundations of Differential Geometry I. New York-London 1963.

[7] I. Коlář: On some operations with connections. Math. Nachr. 69, 1975, 297-306. | DOI | MR

[8] I. Kolář: Canonical forms on the prolongations of principal fibre bundles. Rev. Roumaine Mat. Pures et Appliq., T XVI, N. 7, 1971, 1091-1106. | MR

[9] I. Kolář: Prolongations of generalized connections. Colloquia Math. Soc. János Bolyai, 31. diff. geom., Budapest, 1979, 317-325. | MR

[10] D. Krupka: Differential invariants. lecture notes, Brno 1979.

[11] D. Krupka: Local invariants of a linear connection. Colloquia Math. Soc. János Bolyai, 31. diff. geom., Budapest, 1979, 349-369. | MR

[12] D. Krupka: Elementary theory of differential invariants. Arch. Math. 4, Scripta fac. sci. nat. UJEP Brunensis, 1978, XIV: 207-214. | MR | Zbl

[13] D. Krupka: A setting for generally invariant Lagrangian structures in tensor bundles. Bulletin de l'Académie Polonaise des Sciences, Serie des sciences math., astr. et phys., Vol. XXII, N. 9, 1974,967-972. | MR | Zbl

[14] P. Libermann: Parallélismes. J. Diff. Geom., 8 (1973), 511 - 539. | MR | Zbl

[15] A. Nijenhuis: Natural bundles and their general properties. Diff. Geom., Kinokuniya, Tokyo 1972, 317-334. | MR | Zbl

[16] V. Oproiu: Connections in the semiholonomic frame bundle of second order. Rev. Roumaine Mat. Pures et Appliq., T XIV, N. 5, 1969, 661-672. | MR | Zbl

[17] E. N. Puşcaş: On the connection objects of second order. Analele stiintifice ale Universitatii ,,Al. I. Cuza" din Iasi, Tomul XXV, s. I a, 1979, 1-6. | MR

[18] Chuu-Lian Terng: Natural vector bundles and natural differential operators. Am. J. Math., Vol. 100 (1978) N. 4, 775-826. | DOI | MR

[19] J. Virsík: A general point of view to higher order connections on fibre bundles. Cz. Math. J., 19(94), 1969, 110-142. | MR

[20] A. K. Рыбников: Об аффинных связностях второго порядка. Мат. заметки, т. 29, и. 2 (1981), 279-290. | MR | Zbl

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