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Lagrange theory in fibered manifolds. (English) Zbl 0219.49022


MSC:

49Q20 Variational problems in a geometric measure-theoretic setting
49S05 Variational principles of physics
Full Text: DOI

References:

[1] Abraham, R., Lectures of Smale on differential topology; Abraham, R., Lectures of Smale on differential topology
[2] Bishop, R. L.; Crittenden, R. J., Geometry on manifolds (1964), Acad. Press: Acad. Press New York and London · Zbl 0132.16003
[3] Courant, R.; Hilbert, D., (Methods of mathematical physics, Vol. I (1953), Interscience: Interscience New York and London) · Zbl 0729.00007
[4] Dieudonné, J., Foundations of modern analysis (1960), Acad. Press: Acad. Press New York and London · Zbl 0100.04201
[5] Eells, J.; Sampson, Joseph H., Variational theory in fibre bundles, (Proceedings of the United States-Japan Seminar in Differential Geometry. Proceedings of the United States-Japan Seminar in Differential Geometry, Tokyo, Japan (1965)) · Zbl 0192.29801
[6] Ehresmann, C., Les prolongements d’une variété diférentiable, (Atti d. IV Congresso dell’ Unione Mat. Italiana. Atti d. IV Congresso dell’ Unione Mat. Italiana, Taormina, 1951 (1953), Ed. Cremonese: Ed. Cremonese Rome) · Zbl 0053.13001
[7] Gelfand, I. M.; Fomin, S., Calculus of variations (1967), New Jersey · Zbl 0127.05402
[8] Hermann, R., Differential geometry and the calculus of variations (1968), Acad. Press: Acad. Press New York and London · Zbl 0219.49023
[9] Kolář, I., Private communications; preprints of the Seminar on Jets, ČSAV Brno, 1970.; Kolář, I., Private communications; preprints of the Seminar on Jets, ČSAV Brno, 1970.
[10] Lang, S., Introduction to differentiable manifolds (1962), Interscience: Interscience New York and London, (Russian translation, Moscow, 1967) · Zbl 0103.15101
[11] Sternberg, S., Lectures on differential geometry (1965), Prentice Hall: Prentice Hall Englewood Cliffs, N.J
[12] Trautman, A., Commun. Math. Phys., 6, 248 (1967) · Zbl 0172.27803
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