Fundamental vector fields on type fibres of jet prolongations of tensor bundles

Demeter Krupka

Mathematica Slovaca (1979)

  • Volume: 29, Issue: 2, page 159-167
  • ISSN: 0139-9918

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Krupka, Demeter. "Fundamental vector fields on type fibres of jet prolongations of tensor bundles." Mathematica Slovaca 29.2 (1979): 159-167. <http://eudml.org/doc/34057>.

@article{Krupka1979,
author = {Krupka, Demeter},
journal = {Mathematica Slovaca},
keywords = {r-th jet prolongation; prolongations of projectable vector fields; fundamental vector fields},
language = {eng},
number = {2},
pages = {159-167},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {Fundamental vector fields on type fibres of jet prolongations of tensor bundles},
url = {http://eudml.org/doc/34057},
volume = {29},
year = {1979},
}

TY - JOUR
AU - Krupka, Demeter
TI - Fundamental vector fields on type fibres of jet prolongations of tensor bundles
JO - Mathematica Slovaca
PY - 1979
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 29
IS - 2
SP - 159
EP - 167
LA - eng
KW - r-th jet prolongation; prolongations of projectable vector fields; fundamental vector fields
UR - http://eudml.org/doc/34057
ER -

References

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  1. EHRESMANN C., Introduction a la théorie des structuгes infinitésimales et des pseudogroupes de Lie, In: Géométrie difféгentielle, Coll. intern. du CNRS. Strasbourg 1953, 97-110. (1953) MR0063123
  2. HERMANN R., Vector bundles in mathematical physics, vol. 1. New York 1970. (1970) Zbl0213.23603
  3. KRUPKA D., A setting for geneгally invariant Lagrangian stгuctures in tensoг bundles, Bull. Acad. Polon. Sci., Sér. Math. Astгonom. Phys., 22, 1974, 967-972. (1974) MR0410793
  4. KRUPKA D., A theory of generally invariant Lagrangians for the metric fields, I, To appear in Intern. J. Theor. Phys. Zbl0407.58003MR0527720
  5. KRUPKA D., Lagrange theory in fibered manifolds, Rep. Math. Phys. (Toruń), 2, 1971, 121-133. (1971) Zbl0219.49022MR0287582
  6. KRUPKA D., Some geometric aspects of variational problems in fibred manifolds, Folia fac. Sci. Nat. UJEP Brunensis, Physica, 14, 1973. (1973) 
  7. KRUPKA D., TRAUTMAN A., General invaгiance of Lagrangian structures, Bull. Acad. Polon. Sci., Sér. Math. Astronom. Phys., 22, 1974, 207-211. (1974) MR0345130
  8. STERNBERG S., Lectures on differential geometry, New York. 1964. (1964) Zbl0129.13102MR0193578
  9. SULANKE R., WINTGEN P., Differentialgeometrie und Faserbündel, Berlin 1972. (1972) Zbl0327.53020MR0413153

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