Connections on higher order tangent bundles
Časopis pro pěstování matematiky (1981)
- Volume: 106, Issue: 4, page 414-421
- ISSN: 0528-2195
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topKlein, 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
top- A. Dekrét, Hoгizontal structuгes on fibre manifolds, Math. Slovaca, 27 (1977), 257-265. (1977) MR0536143
- I. Kolář, On the reducibillity of connections on the prolongations of vector bundles, Colloquium Mathematicum, vol. XXX (1974), 245-257. (1974) MR0372903
- I. Kolář, А geneгalized point of view to osculating spaces, Rendiconti di Matematica (4) Vol. 5, Serie VI (1972), 1-13. (1972) MR0334041
- I. Kolář, Stгucture morphisms of prolongation functors, to appear in Math. Slovaca. MR0568217
- P. Libermann, Sur la géométrie des prolongements des espaces fibrés vectoriels, Аnnales de ľlnstitut Fourier, 14 (1964), 145-172. (1964) Zbl0126.38201MR0167925
- A. J. A. Morgan, Higher order tensors, SIАM Ј., Аppl. Math., 30 (1976), 355-380. (1976) Zbl0322.53019MR0394482
- F. W. Pohl, Differential geometry of higher order, Topology, 1 (1962), 169-211. (1962) Zbl0112.36605MR0154293
Citations in EuDML Documents
top- Ivan Kolář, Functorial prolongations of Lie groups and their actions
- Miroslav Doupovec, Natural operators transforming vector fields to the second order tangent bundle
- Josef Janyška, Geometrical properties of prolongation functors
- Włodzimierz M. Mikulski, Natural transformations transforming functions and vector fields to functions on some natural bundles
- Ivan Kolář, Gabriela Vosmanská, Natural transformations of higher order tangent bundles and jet spaces
- Włodzimierz M. Mikulski, Natural differential operators between some natural bundles
- Włodzimierz M. Mikulski, Natural transformations of the covelocities functors into some natural bundles
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