Connections on higher order tangent bundles

Tomáš Klein

Časopis pro pěstování matematiky (1981)

  • Volume: 106, Issue: 4, page 414-421
  • ISSN: 0528-2195

How to cite

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Klein, Tomáš. "Connections on higher order tangent bundles." Časopis pro pěstování matematiky 106.4 (1981): 414-421. <http://eudml.org/doc/19317>.

@article{Klein1981,
author = {Klein, Tomáš},
journal = {Časopis pro pěstování matematiky},
keywords = {connections; r-th order tangent bundles; prolongation functors; principal fibre bundle of all r-th order frames},
language = {eng},
number = {4},
pages = {414-421},
publisher = {Mathematical Institute of the Czechoslovak Academy of Sciences},
title = {Connections on higher order tangent bundles},
url = {http://eudml.org/doc/19317},
volume = {106},
year = {1981},
}

TY - JOUR
AU - Klein, Tomáš
TI - Connections on higher order tangent bundles
JO - Časopis pro pěstování matematiky
PY - 1981
PB - Mathematical Institute of the Czechoslovak Academy of Sciences
VL - 106
IS - 4
SP - 414
EP - 421
LA - eng
KW - connections; r-th order tangent bundles; prolongation functors; principal fibre bundle of all r-th order frames
UR - http://eudml.org/doc/19317
ER -

References

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  1. A. Dekrét, Hoгizontal structuгes on fibre manifolds, Math. Slovaca, 27 (1977), 257-265. (1977) MR0536143
  2. I. Kolář, On the reducibillity of connections on the prolongations of vector bundles, Colloquium Mathematicum, vol. XXX (1974), 245-257. (1974) Zbl0259.53031MR0372903
  3. I. Kolář, А geneгalized point of view to osculating spaces, Rendiconti di Matematica (4) Vol. 5, Serie VI (1972), 1-13. (1972) MR0334041
  4. I. Kolář, Stгucture morphisms of prolongation functors, to appear in Math. Slovaca. Zbl0425.58004MR0568217
  5. P. Libermann, Sur la géométrie des prolongements des espaces fibrés vectoriels, Аnnales de ľlnstitut Fourier, 14 (1964), 145-172. (1964) Zbl0126.38201MR0167925
  6. A. J. A. Morgan, Higher order tensors, SIАM Ј., Аppl. Math., 30 (1976), 355-380. (1976) Zbl0322.53019MR0394482
  7. F. W. Pohl, Differential geometry of higher order, Topology, 1 (1962), 169-211. (1962) Zbl0112.36605MR0154293

Citations in EuDML Documents

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  1. Ivan Kolář, Functorial prolongations of Lie groups and their actions
  2. Miroslav Doupovec, Natural operators transforming vector fields to the second order tangent bundle
  3. Josef Janyška, Geometrical properties of prolongation functors
  4. Włodzimierz M. Mikulski, Natural transformations transforming functions and vector fields to functions on some natural bundles
  5. Ivan Kolář, Gabriela Vosmanská, Natural transformations of higher order tangent bundles and jet spaces
  6. Włodzimierz M. Mikulski, Natural differential operators between some natural bundles
  7. Włodzimierz M. Mikulski, Natural transformations of the covelocities functors into some natural bundles

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