Connexions in differential geometry of higher order

Pohl, William F.

doi:10.1090/S0002-9947-1966-0203628-1

Connexions in differential geometry of higher order
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by William F. Pohl

Trans. Amer. Math. Soc. 125 (1966), 310-325

DOI: https://doi.org/10.1090/S0002-9947-1966-0203628-1

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References

W. Ambrose, R. S. Palais, and I. M. Singer, Sprays, An. Acad. Brasil. Ci. 32 (1960), 163–178. MR 126234
M. F. Atiyah, Complex analytic connections in fibre bundles, Trans. Amer. Math. Soc. 85 (1957), 181–207. MR 86359, DOI 10.1090/S0002-9947-1957-0086359-5
S. S. Chern, Complex manifolds, Textos de Matemática, No. 5, Universidade do Recife, Instituto de Física e Matemática, Recife, 1959. MR 0111055
Luther Pfahler Eisenhart, Non-Riemannian geometry, American Mathematical Society Colloquium Publications, vol. 8, American Mathematical Society, Providence, RI, 1990. Reprint of the 1927 original. MR 1466961, DOI 10.1090/coll/008
E. A. Feldman, The geometry of immersions. I, Trans. Amer. Math. Soc. 120 (1965), 185–224. MR 185602, DOI 10.1090/S0002-9947-1965-0185602-6
Shoshichi Kobayashi, Canonical forms on frame bundles of higher order contact, Proc. Sympos. Pure Math., Vol. III, American Mathematical Society, Providence, R.I., 1961, pp. 186–193. MR 0126810
Shoshichi Kobayashi and Tadashi Nagano, On projective connections, J. Math. Mech. 13 (1964), 215–235. MR 0159284
Shoshichi Kobayashi and Katsumi Nomizu, Foundations of differential geometry. Vol I, Interscience Publishers (a division of John Wiley & Sons, Inc.), New York-London, 1963. MR 0152974
Paulette Libermann, Sur la géométrie des prolongements des espaces fibrés vectoriels, Ann. Inst. Fourier (Grenoble) 14 (1964), no. fasc. 1, 145–172 (French). MR 167925
William Francis Pohl, Differential geometry of higher order, Topology 1 (1962), 169–211. MR 154293, DOI 10.1016/0040-9383(62)90103-9
Shlomo Sternberg, Lectures on differential geometry, Prentice-Hall, Inc., Englewood Cliffs, N.J., 1964. MR 0193578