On a horizontal structure on differentiable manifolds

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On a horizontal structure on differentiable manifolds. (English). Mathematica Slovaca, vol. 27 (1977), issue 1, pp. 25-32

MSC: 37J99, 53C05, 58A20, 70H99 | MR 0458332 | Zbl 0361.53034

References:

[1] BISHOP R. L., GRITTENDEN R. J.: Geometrie of manifolds. MIR Moskva 1967.

[2] EHRESMANN C: Extension du calcul des jet aux jets non-holonomes. CRAS Paris, 239, 1954, 1762-1964. MR 0066734

[3] GODBILLON C: Géometrie différentielle et méchanique analytique. MIR Moskva 1973.

[4] GOLDSCHMIDT G.: Integrability criteria for systems of non-linear partial diff. equations. J. Diff. Geom., 1, 1967, 269-307. MR 0226156

[5] KRUPKA D.: Lagrange theory in fibered manifolds. Re. Math. Phys., 2 1971, 121-133. MR 0287582 | Zbl 0219.49022

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