Geometrical properties of prolongation functors
Časopis pro pěstování matematiky, Tome 110 (1985) no. 1, pp. 77-86 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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DOI : 10.21136/CPM.1985.118224
Classification : 58A20
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Janyška, Josef. Geometrical properties of prolongation functors. Časopis pro pěstování matematiky, Tome 110 (1985) no. 1, pp. 77-86. doi: 10.21136/CPM.1985.118224

[1] D. B. A. Epstein: Natural vector bundles. Lecture Notes in Mathematics, N. 99, 171 - 195. | MR | Zbl

[2] D. B. A. Epstein W. Thurston: Transformation groups and natural bundles. Proc. London Math. Soc. (3) 38, 1979, N. 2, 219-236. | MR

[З] T. Klein: Connections on higheг order tangent bundles. Čas. pro pěst. mat. 106 (1981), 414-421. | MR

[4] I. Kolář: On the prolongations of geometгic object fields. Аnalele stiintifice ale Universitatii "Аl. I. Cuza", ТXVII, 1971, 437-446. | MR

[5] I. Kolář: Prolongations of generalized connections. Colloquia Math. Soc. János Вolay, 31. diff. geom., Budapest, 1979, З17-З25.

[6] I. Kolář: Higher ordeг absolute differentiation with respect to generalized connections. (Тo appeaг in Banach Center Publications)

[7] D. Krupka: Differential invariants. Lecture Notes, Bгno 1979.

[8] D. Krupka: Reducibility theorems for diffeгentiable liftings in fiber bundles. Аrch. Math. 2, Scripta fac. sci. nat. UJEP Brunensis, XV: 93-106, 1979. | MR

[9] A. Nijenhuis: Natuгal bundles and their general properties. Diff. Geom., Kinokuniya, Тokyo 1972, 317-334. | MR

[10] R. S. Palais, Chuu-Lian Terng: Natuгal bundles have finite order. Тopology, Vol. 16, 1977, 271-277. | MR

[11] S. E. Sahioli: On the theory of geometric objects. J. Diff. Geom., 7 (1972), 257-278. | MR

[12] Chuu-Lian Terng: Natural vector bundles and natuгal differential opeгatoгs. Аm. J. Math., Vol 100 (1978), N. 4, 775-826. | MR

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