On a class of variational problems defined by polynomial Lagrangians

Demeter Krupka

Archivum Mathematicum (1976)

  • Volume: 012, Issue: 2, page 99-105
  • ISSN: 0044-8753

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Krupka, Demeter. "On a class of variational problems defined by polynomial Lagrangians." Archivum Mathematicum 012.2 (1976): 99-105. <http://eudml.org/doc/17917>.

@article{Krupka1976,
author = {Krupka, Demeter},
journal = {Archivum Mathematicum},
language = {eng},
number = {2},
pages = {99-105},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {On a class of variational problems defined by polynomial Lagrangians},
url = {http://eudml.org/doc/17917},
volume = {012},
year = {1976},
}

TY - JOUR
AU - Krupka, Demeter
TI - On a class of variational problems defined by polynomial Lagrangians
JO - Archivum Mathematicum
PY - 1976
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 012
IS - 2
SP - 99
EP - 105
LA - eng
UR - http://eudml.org/doc/17917
ER -

References

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  1. R. Hermann, Differential geometry and the calculus of variations, New York (1968). (1968) Zbl0219.49023MR0233313
  2. R. Hermann, Geometry, physics and systems, New York (1973). (1973) Zbl0285.58001MR0494183
  3. D. Krupka, Lagrange theory in fibred manifolds, Rep. Math. Phys. 2 (1971), 121-133. (1971) Zbl0219.49022MR0287582
  4. D. Krupka, On generalized invariant transformations, Rep. Math. Phys. 5 (1974), 355-360. (1974) Zbl0305.49050MR0423411
  5. D. Krupka, A geometric theory of ordinary first order variational problems in fibered manifold. I. Critical sections, J. Math. Anal. Appl. 49 (1975), 180-206. (1975) Zbl0312.58002MR0362397
  6. Th. H. J. Lepage, Sur les champs géodésiques du Calcul des Variations, Bull. Acad. Roy. Belg., Cl. Sci. V, Sér. 22 (1936), 716, 1036. (1936) Zbl0016.26201
  7. R. S. Palais, Manifolds of sections of fiber bundles and the calculus of variations, in "Nonlinear Functional Analysis," Proc Sympos. Pure Math., Vol. XVIII, Part 1, Chicago, III., 1968, pp. 195-205, Providence RI, 1970. (1968) MR0271973
  8. J. Śniatycki, On the geometric structure of classical field theory in Lagrangian formulation, Proc. Camb. Phil. Soc. (1970), 68, 475-484. (1970) Zbl0197.18501MR0261936
  9. A. Trautman, Invariance of Lagrangian systems, in "General Relativity", papers in honour of J. L. Synge, Oxford (1972). (1972) Zbl0273.58004MR0503424

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