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:
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0528-2195 |
Volume:
|
109 |
Issue:
|
2 |
Year:
|
1984 |
Pages:
|
127-134 |
. |
Category:
|
math |
. |
MSC:
|
58A99 |
idZBL:
|
Zbl 0543.58005 |
idMR:
|
MR744870 |
DOI:
|
10.21136/CPM.1984.108504 |
. |
Date available:
|
2009-09-23T09:25:13Z |
Last updated:
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2020-07-28 |
Stable URL:
|
http://hdl.handle.net/10338.dmlcz/108504 |
. |
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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