A property of connections of mechanical systems of higher order

Anton Dekrét

Mathematica Slovaca (1993)

  • Volume: 43, Issue: 1, page 77-87
  • ISSN: 0139-9918

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Dekrét, Anton. "A property of connections of mechanical systems of higher order." Mathematica Slovaca 43.1 (1993): 77-87. <http://eudml.org/doc/31891>.

@article{Dekrét1993,
author = {Dekrét, Anton},
journal = {Mathematica Slovaca},
keywords = {semispray; symplectic form; regular Lagrangian},
language = {eng},
number = {1},
pages = {77-87},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {A property of connections of mechanical systems of higher order},
url = {http://eudml.org/doc/31891},
volume = {43},
year = {1993},
}

TY - JOUR
AU - Dekrét, Anton
TI - A property of connections of mechanical systems of higher order
JO - Mathematica Slovaca
PY - 1993
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 43
IS - 1
SP - 77
EP - 87
LA - eng
KW - semispray; symplectic form; regular Lagrangian
UR - http://eudml.org/doc/31891
ER -

References

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  1. DE ANDRÉS L. C., DE LEÓN M., RODRIGUES P. R., Connections on tangent bundles of higher order, Demonstratio Math. XXII (1989), 607-632. (1989) Zbl0701.53050MR1041903
  2. CRAMPIN M., Alternative Lagrangians in particle dynamics, In: Proc. of Conf. Diff. Geom. and its Appl., Brno 1986, J. E. P. University, Brno, 1987, pp. 1-12. (1986) MR0923340
  3. DEKRÉT A., Ordinary differential equations and connections, In: Proc. of Conf. Diff. Geom. and Appl., Brno 1989, World Scientific, Singapore, 1990, pp. 27-32. (1989) MR1062002
  4. DEKRÉT A., Mechanical structures and connections, In: Proc. of Conf. Diff. Geom. and Appl., Dubrovnik 1988, University of Novi Sad, Novi Sad, 1989, pp. 121-131. (1988) MR1040061
  5. DEKRÉT A., Connections deduced from mechanical system of second order, In: Proc. of Colloquium of Diff. Geom., Eger (Hungary) 1989, Soc. J. Bolyai, Budapest, 1992, pp. 201-213. (1989) MR1211657
  6. KLEIN J., Espaces variationnels et mechanique, Ann. Inst. Fourier (Grenoble) 12 (1962), 1-124. (1962) MR0215269
  7. KLEIN J., Almost symplectic structures in dynamics, In: Proc. of Conf. Diff. Geom. and its Appl., Brno 1986, J. E. P. University, Brno, 1987, pp. 79-90. (1986) MR0923345
  8. DE LEÓN M., RODRIGUES P. R., Generalized Classical Mechanics and Field Theory, North-Holland Math. Stud. 112, North-Holland, Amsterdam-New York, 1985. (1985) Zbl0581.58015MR0808964
  9. TULCZYJEW W., Sur la differential de Lagrange, C. R. Acad. Sci. Paris Ser. I 280 (1975), 1295-1298. (1975) MR0377987

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