Geometrical properties of prolongation functors

Josef Janyška

Časopis pro pěstování matematiky (1985)

  • Volume: 110, Issue: 1, page 77-86
  • ISSN: 0528-2195

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Janyška, Josef. "Geometrical properties of prolongation functors." Časopis pro pěstování matematiky 110.1 (1985): 77-86. <http://eudml.org/doc/21590>.

@article{Janyška1985,
author = {Janyška, Josef},
journal = {Časopis pro pěstování matematiky},
keywords = {prolongation functors; prolongation condition; regularity property; localization condition; r-jet category},
language = {eng},
number = {1},
pages = {77-86},
publisher = {Mathematical Institute of the Czechoslovak Academy of Sciences},
title = {Geometrical properties of prolongation functors},
url = {http://eudml.org/doc/21590},
volume = {110},
year = {1985},
}

TY - JOUR
AU - Janyška, Josef
TI - Geometrical properties of prolongation functors
JO - Časopis pro pěstování matematiky
PY - 1985
PB - Mathematical Institute of the Czechoslovak Academy of Sciences
VL - 110
IS - 1
SP - 77
EP - 86
LA - eng
KW - prolongation functors; prolongation condition; regularity property; localization condition; r-jet category
UR - http://eudml.org/doc/21590
ER -

References

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  1. D. B. A. Epstein, Natural vector bundles, Lecture Notes in Mathematics, N. 99, 171 - 195. Zbl0207.53505MR0252478
  2. D. B. A. Epstein W. Thurston, Transformation groups and natural bundles, Proc. London Math. Soc. (3) 38, 1979, N. 2, 219-236. (1979) MR0531161
  3. T. Klein, Connections on higheг order tangent bundles, Čas. pro pěst. mat. 106 (1981), 414-421. (1981) MR0637822
  4. I. Kolář, On the prolongations of geometгic object fields, Аnalele stiintifice ale Universitatii "Аl. I. Cuza", ТXVII, 1971, 437-446. (1971) MR0305278
  5. I. Kolář, Prolongations of generalized connections, Colloquia Math. Soc. János Вolay, 31. diff. geom., Budapest, 1979, З17-З25. (1979) 
  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. (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. (1979) MR0563142
  9. A. Nijenhuis, Natuгal bundles and their general properties, Diff. Geom., Kinokuniya, Тokyo 1972, 317-334. (1972) MR0380862
  10. R. S. Palais, Chuu-Lian Terng, Natuгal bundles have finite order, Тopology, Vol. 16, 1977, 271-277. (1977) MR0467787
  11. S. E. Sahioli, On the theory of geometric objects, J. Diff. Geom., 7 (1972), 257-278. (1972) MR0320922
  12. Chuu-Lian Terng, Natural vector bundles and natuгal differential opeгatoгs, Аm. J. Math., Vol 100 (1978), N. 4, 775-826. (1978) MR0509074

Citations in EuDML Documents

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  1. Miroslav Doupovec, Natural transformations between T²₁T*M and T*T²₁M
  2. Miroslav Doupovec, Natural operators transforming vector fields to the second order tangent bundle
  3. Anton Dekrét, Vector fields and connections on T M
  4. Josef Janyška, Remarks on the Nijenhuis tensor and almost complex connections
  5. Anton Dekrét, Gabriela Vosmanská, Natural transformations of 2-quasijets
  6. Ivan Kolář, Gabriela Vosmanská, Natural transformations of higher order tangent bundles and jet spaces
  7. Ivan Kolář, Zbigniew Radziszewski, Natural transformations of second tangent and cotangent functors
  8. Jan Slovák, Smooth structures on fibre jet spaces
  9. Alena Vanžurová, Natural transformations of the second tangent functor and soldered morphisms
  10. Antonella Cabras, Ivan Kolář, Connections on some functional bundles

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