Natural operators transforming vector fields to the second order tangent bundle

Miroslav Doupovec

Časopis pro pěstování matematiky (1990)

  • Volume: 115, Issue: 1, page 64-72
  • ISSN: 0528-2195

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Doupovec, Miroslav. "Natural operators transforming vector fields to the second order tangent bundle." Časopis pro pěstování matematiky 115.1 (1990): 64-72. <http://eudml.org/doc/19548>.

@article{Doupovec1990,
author = {Doupovec, Miroslav},
journal = {Časopis pro pěstování matematiky},
keywords = {natural operators; second order tangent bundle; natural transformations; second order tangent functor},
language = {eng},
number = {1},
pages = {64-72},
publisher = {Mathematical Institute of the Czechoslovak Academy of Sciences},
title = {Natural operators transforming vector fields to the second order tangent bundle},
url = {http://eudml.org/doc/19548},
volume = {115},
year = {1990},
}

TY - JOUR
AU - Doupovec, Miroslav
TI - Natural operators transforming vector fields to the second order tangent bundle
JO - Časopis pro pěstování matematiky
PY - 1990
PB - Mathematical Institute of the Czechoslovak Academy of Sciences
VL - 115
IS - 1
SP - 64
EP - 72
LA - eng
KW - natural operators; second order tangent bundle; natural transformations; second order tangent functor
UR - http://eudml.org/doc/19548
ER -

References

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  2. J. Janyška, Geometrical properties of prolongation functors, Časopis pӗst. mat. 110 (1985), 77-86. (1985) Zbl0582.58002MR0791280
  3. T. Klein, Connections on higheг oгdeг tangent bundles, Časopis pěst. mat. 106 (1981), 414-421. (1981) MR0637822
  4. I. Kolář, Some natuгal opeгators in differential geometry, Differential geometry and its applications, Bгno, 1986, Proceedings, D. Reidel, 1987, 91-110. (1986) 
  5. I. Kolář, Some natural operators with connections, to appear. Zbl0671.53023MR0994555
  6. I. Kolář, On the natuгal opeгatoгs on vector fields, to appeaг. 
  7. A. Nijenhuis, Natuгal bundles and their general properties, Diff. Geometry in honor of K. Yano, Kinokuniya, Tokyo, 1972, 317-334. (1972) Zbl0246.53018MR0380862
  8. R. S. Palais C. L. Terng, Natural bundles have finite order, Topology, Vol. 16 (1977), 271-277. (1977) Zbl0359.58004MR0467787
  9. F. W. Pohl, Differential geometry of higher order, Topology, 1 (1962), 169-211. (1962) Zbl0112.36605MR0154293

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