The inverse problem of the calculus of variations for Finsler structures

Demeter Krupka; Abdurasoul Èzbekhovich Sattarov

Mathematica Slovaca (1985)

  • Volume: 35, Issue: 3, page 217-222
  • ISSN: 0139-9918

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Krupka, Demeter, and Sattarov, Abdurasoul Èzbekhovich. "The inverse problem of the calculus of variations for Finsler structures." Mathematica Slovaca 35.3 (1985): 217-222. <http://eudml.org/doc/34212>.

@article{Krupka1985,
author = {Krupka, Demeter, Sattarov, Abdurasoul Èzbekhovich},
journal = {Mathematica Slovaca},
keywords = {variational connection; metrizable connection; Cartan connection; Finsler space},
language = {eng},
number = {3},
pages = {217-222},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {The inverse problem of the calculus of variations for Finsler structures},
url = {http://eudml.org/doc/34212},
volume = {35},
year = {1985},
}

TY - JOUR
AU - Krupka, Demeter
AU - Sattarov, Abdurasoul Èzbekhovich
TI - The inverse problem of the calculus of variations for Finsler structures
JO - Mathematica Slovaca
PY - 1985
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 35
IS - 3
SP - 217
EP - 222
LA - eng
KW - variational connection; metrizable connection; Cartan connection; Finsler space
UR - http://eudml.org/doc/34212
ER -

References

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  1. KRUPKA D., Local invariants of a linear connection, Colloquia Math. Soc. J. Bolyai, 31. Diffeгential Geometгy, Budapest 1979, Noгth Holland, 1982, 349-369. (1979) MR0706930
  2. KRUPKA D., On the local stгucture of the Euleг-Lagrange mapping of the calculus of variations, Proc. Conf. on Diff. Geom. and Appl., Nové Město na Moгavě, September 1980; Charlеs Univ. of Pгague, 1982, 181-188. (1980) MR0663224
  3. ЛAПTEB Б. Л., Пpoизвoднaя Ли для oбьeктoв, являющиxcя фyнкциeй нaпpaвлeния, Изв, физ.-мaт. oб-вa пpи Kaзaнcк. yнив. 3, 10, 1938, 3-38. (1938) 
  4. RUND H., The Diffeгential Geometгy of Finsler Spaces, Springeг, Berlin 1959. (1959) MR0105726
  5. CATTAPOB A. Э., Экcтpeмaли мeтpичecкoгo пpocгpaнcтвa oпopныx вeктopныx плoтнocтeй, Изв. вyзoв Maтeмaтикa 9, 1977, 119-121. (1977) 
  6. TONTT E., Variational formulation of nonlinear diffeгential equations, I., II., Bull. Classe Sciences Acad. R. de Belgique 55, 1969, 137-165; 262-278. (1969) 

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