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Krupka, Demeter

Fundamental vector fields on type fibres of jet prolongations of tensor bundles. (English) Zbl 0414.58005

Math. Slovaca 29, 159-167 (1979).
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Cited in 1 Document

MSC:

58A20 Jets in global analysis
57R25 Vector fields, frame fields in differential topology
70H99 Hamiltonian and Lagrangian mechanics

Keywords:

r-th jet prolongation; prolongations of projectable vector fields; fundamental vector fields

Citations:

Zbl 0219.49022
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Full Text: EuDML

References:

[1] EHRESMANN C.: Introduction a la théorie des structures infinitésimales et des pseudogroupes de Lie. Géométrie différentielle, Coll. intern. du CNRS. Strasbourg 1953, 97-110. · Zbl 0052.39803
[2] HERMANN R.: Vector bundles in mathematical physics. vol. 1. New York 1970. · Zbl 0213.23603
[3] KRUPKA D.: A setting for generally invariant Lagrangian structures in tensor bundles. Bull. Acad. Polon. Sci., Sér. Math. Astronom. Phys., 22, 1974, 967-972. · Zbl 0305.58002
[4] KRUPKA D.: A theory of generally invariant Lagrangians for the metric fields, I. To appear in Intern. J. Theor. Phys. · Zbl 0407.58003 · doi:10.1007/BF00674106
[5] KRUPKA D.: Lagrange theory in fibered manifolds. Rep. Math. Phys. (Toruń), 2, 1971, 121-133. · Zbl 0219.49022 · doi:10.1016/0034-4877(71)90025-5
[6] KRUPKA D.: Some geometric aspects of variational problems in fibred manifolds. Folia fac. Sci. Nat. UJEP Brunensis, Physica, 14, 1973.
[7] KRUPKA D., TRAUTMAN A.: General invariance of Lagrangian structures. Bull. Acad. Polon. Sci., Sér. Math. Astronom. Phys., 22, 1974, 207-211. · Zbl 0278.49044
[8] STERNBERG S.: Lectures on differential geometry. New York. 1964. · Zbl 0129.13102
[9] SULANKE R., WINTGEN P.: Differentialgeometrie und Faserbündel. Berlin 1972. · Zbl 0327.53020
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