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Connections and 1-jet fiber bundles. (English) Zbl 0251.53024


MSC:

53C05 Connections (general theory)
55R40 Homology of classifying spaces and characteristic classes in algebraic topology
57R20 Characteristic classes and numbers in differential topology
58A20 Jets in global analysis
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References:

[1] Garcia , P.L. : Geometría simpléctica en la teoria clásica de campos , Collect. Math. , vol. XIX , fasc, 1 ^\circ , 2 ^\circ , 1968 .
[2] Garcia , P.L. : Estructura compleja en la teoría clásica de campos , Collec. Math. , vol. XIX , fasc. 3 ^\circ , 1968 .
[3] Garcia , P.L. and Perez-Rendon , A. : Symplectic approach to the theory of Quantized Fields I , Comm. Math. Phys. 13 , 24 - 44 , 1969 . Article | MR 256681 | Zbl 0175.24703 · Zbl 0175.24703 · doi:10.1007/BF01645268
[4] Garcia , P.L. and Perez-Rendon , A. : Symplectic approach to the theory of Quantized Fields II , Arch. for Rat. Mech. and Anal. 43 , 101 - 124 , 1971 . MR 337224 | Zbl 0226.53016 · Zbl 0226.53016 · doi:10.1007/BF00252774
[5] Kobayashi , S. and Nomizu , K. : Foundations of Differential Geometry (Vol. I ), Tracts in Math. Int., 1963 . MR 152974 | Zbl 0119.37502 · Zbl 0119.37502
[6] Kobayashi , S. and Nomizu , K. : Foundations of Differential Geometry (Vol. II ), Tracts in Math. Int., 1969 . MR 238225 | Zbl 0175.48504 · Zbl 0175.48504
[7] Koszul , J.L. : Lectures on Fibre bundles and Differential Geometry , Tata Institute of Fundamental Research , 1960 . MR 901943 | Zbl 0244.53026 · Zbl 0244.53026
[8] Palais , R. : Foundations of Global Non-linear Analysis, Math. Lec. Not . Benjamin , 1968 . MR 248880 | Zbl 0164.11102 · Zbl 0164.11102
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