On the connections naturally induced on the second order frame bundle

Josef Janyška; Ivan Kolář

Archivum Mathematicum (1986)

  • Volume: 022, Issue: 1, page 21-28
  • ISSN: 0044-8753

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Janyška, Josef, and Kolář, Ivan. "On the connections naturally induced on the second order frame bundle." Archivum Mathematicum 022.1 (1986): 21-28. <http://eudml.org/doc/18177>.

@article{Janyška1986,
author = {Janyška, Josef, Kolář, Ivan},
journal = {Archivum Mathematicum},
keywords = {connection; semi-holonomic second order frame bundle},
language = {eng},
number = {1},
pages = {21-28},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {On the connections naturally induced on the second order frame bundle},
url = {http://eudml.org/doc/18177},
volume = {022},
year = {1986},
}

TY - JOUR
AU - Janyška, Josef
AU - Kolář, Ivan
TI - On the connections naturally induced on the second order frame bundle
JO - Archivum Mathematicum
PY - 1986
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 022
IS - 1
SP - 21
EP - 28
LA - eng
KW - connection; semi-holonomic second order frame bundle
UR - http://eudml.org/doc/18177
ER -

References

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  1. J. Janyška, On natural operations with linear connections, Cz. Math. Journal, 35 (110) 1985, 106-115. (1985) MR0779339
  2. I. Kolář, On some operations with connections, Math. Nachr., 69 (1975), 297-306. (1975) MR0391157
  3. I. Kolář, Connections in 2-fibered manifolds, Arch. Math. (Brno), XVII (1981), 23-30. (1981) MR0672485
  4. S. Kobayashi K. Nomizu, Foundations of Differential Geometry, I., New York-London-Sydney 1963. (1963) 
  5. P. Libermann, Connexions d'ordre superieur et tenseur de structure, Atti del Convegno Int. di Geom. Diff., Bologna 1967, 1-18. (1967) 
  6. L. Mangiarotti M. Modugno, New operators on jet spaces, Annales Fac. des Sciences Toulouse, 5 (1983), 171 -198. (1983) MR0735661
  7. V. Oproiu, Connections on the semiholonomic frame bundle of the second order, Revue Roumaine Mat. Pures et Appliq., XIV (1969), 661-672. (1969) MR0248671
  8. J. Pradines, Fibrés vectoriels double symétriques et jets holonomes d'ordre 2, C. R. Acad. Sci. Paris Sér. A, 278 (1974), 1557-1560. (1974) MR0388433
  9. A. K. Rybnikov, On the second order affine connections, (Russian), Mat. Zametki 29 (1981), 279-290. (1981) MR0610586
  10. I. Vadovičová, Non-holonomic jets of the second order and their applications, (Slovak), PhD-thesis, Žilina 1983. (1983) 
  11. P. C. Yuen, Higher order frames and linear connections, Cahiers Topol. Geom. Diff., 12 (1971), 337-371. (1971) Zbl0222.53033MR0307102

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