Regularity conditions for liftings of functions and vector fields to natural bundles

Włodzimierz M. Mikulski

Časopis pro pěstování matematiky (1984)

  • Volume: 109, Issue: 2, page 127-134
  • ISSN: 0528-2195

How to cite

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Mikulski, Włodzimierz M.. "Regularity conditions for liftings of functions and vector fields to natural bundles." Časopis pro pěstování matematiky 109.2 (1984): 127-134. <http://eudml.org/doc/19334>.

@article{Mikulski1984,
author = {Mikulski, Włodzimierz M.},
journal = {Časopis pro pěstování matematiky},
keywords = {natural bundle; lifting of functions; quasi-lifting of vector fields},
language = {eng},
number = {2},
pages = {127-134},
publisher = {Mathematical Institute of the Czechoslovak Academy of Sciences},
title = {Regularity conditions for liftings of functions and vector fields to natural bundles},
url = {http://eudml.org/doc/19334},
volume = {109},
year = {1984},
}

TY - JOUR
AU - Mikulski, Włodzimierz M.
TI - Regularity conditions for liftings of functions and vector fields to natural bundles
JO - Časopis pro pěstování matematiky
PY - 1984
PB - Mathematical Institute of the Czechoslovak Academy of Sciences
VL - 109
IS - 2
SP - 127
EP - 134
LA - eng
KW - natural bundle; lifting of functions; quasi-lifting of vector fields
UR - http://eudml.org/doc/19334
ER -

References

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  1. J. Aczel S. Golab, Funktionalgleichungen der Theorie der Geometrischen Objekte, PWN Warszawa I960. 
  2. D. B. A. Epstein W. P. Thurston, Transformation groups and natural bundles, Proc. London Math. Soc XXXVIII. 1979, 219-237. (1979) Zbl0409.58001MR0531161
  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. (1980) Zbl0503.53050MR0697471
  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. (1979) Zbl0395.53017MR0520973
  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. (1970) Zbl0208.24401MR0279720
  6. A. Morimoto, Liftings of tensor fields and connections to tangential fibre bundles of higher order, Nagoya Math. J. 40 (1970), 85-97. (1970) Zbl0208.50201MR0276890
  7. A. Nijenhuis, Natural bundles and their general properties, Diff. Geom. in honor of K. Yano Kinokuniya Tokio 1972, 317-334. (1972) Zbl0246.53018MR0380862
  8. P. S. Palais C. L. Terng, Natural bundles have a finite order, Topology 16 (1978), 271 - 277. (1978) Zbl0359.58004
  9. J. C. Tougeron, Ideaux des fonctions differentiables, Springer, Berlin 1972. (1972) Zbl0251.58001MR0440598
  10. K. Yano S. Ishihara, Differential geometry in tangent bundles, Kodai Math. Sem. Rep. 18 (1966), 271-292. (1966) Zbl0146.17702MR0208512
  11. K. Yano S. Kobayashi, Prolongations of tensor fields an connections to tangent bundle, J. Math. Soc. Japan 18 (1966), 194-210. (1966) Zbl0141.38702MR0193596

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