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Title: Regularity conditions for liftings of functions and vector fields to natural bundles (English)
Author: Mikulski, Włodzimierz M.
Language: English
Journal: Časopis pro pěstování matematiky
ISSN: 0528-2195
Volume: 109
Issue: 2
Year: 1984
Pages: 127-134
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Category: math
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MSC: 58A99
idZBL: Zbl 0543.58005
idMR: MR744870
DOI: 10.21136/CPM.1984.108504
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Date available: 2009-09-23T09:25:13Z
Last updated: 2020-07-28
Stable URL: http://hdl.handle.net/10338.dmlcz/108504
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Reference: [1] J. Aczel S. Golab: Funktionalgleichungen der Theorie der Geometrischen Objekte.PWN Warszawa I960.
Reference: [2] D. B. A. Epstein W. P. Thurston: Transformation groups and natural bundles.Proc. London Math. Soc XXXVIII. 1979, 219-237. MR 0531161
Reference: [3] J. Gancarzewicz: Liftings of functions and vector fields to natural bundles.Institute of Math. Polish Academy of Sciences Preprint No 207, Warsaw March 1980, Demonst Math, to appear. MR 0697471
Reference: [4] K. P. Mok: Complete lifts of tensor fields and connections from a manifold to the linear frame bundle.Proc. London Math. Soc. 38 (1979), 72-88. MR 0520973
Reference: [5] A. Morimoto: Liftings of some types of tensor fields and connections to tangent bundles of pr-velocities.Nagoya Math. J. 40 (1970), 13 - 31. MR 0279720
Reference: [6] A. Morimoto: Liftings of tensor fields and connections to tangential fibre bundles of higher order.Nagoya Math. J. 40 (1970), 85-97. MR 0276890
Reference: [7] A. Nijenhuis: Natural bundles and their general properties.Diff. Geom. in honor of K. Yano Kinokuniya Tokio 1972, 317-334. Zbl 0246.53018, MR 0380862
Reference: [8] P. S. Palais C. L. Terng: Natural bundles have a finite order.Topology 16 (1978), 271 - 277.
Reference: [9] J. C. Tougeron: Ideaux des fonctions differentiables.Springer, Berlin 1972. MR 0440598
Reference: [10] K. Yano S. Ishihara: Differential geometry in tangent bundles.Kodai Math. Sem. Rep. 18 (1966), 271-292. MR 0208512
Reference: [11] K. Yano S. Kobayashi: Prolongations of tensor fields an connections to tangent bundle.J. Math. Soc. Japan 18 (1966), 194-210. MR 0193596
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