Proceedings of the Japan Academy

A note on metric general connections

Tominosuke Ōtsuki

Full-text: Open access

Article information

Source
Proc. Japan Acad., Volume 38, Number 8 (1962), 409-413.

Dates
First available in Project Euclid: 20 November 2007

Permanent link to this document
https://projecteuclid.org/euclid.pja/1195523278

Digital Object Identifier
doi:10.3792/pja/1195523278

Mathematical Reviews number (MathSciNet)
MR0149407

Zentralblatt MATH identifier
0114.13704

Subjects
Primary: 53.55

Citation

Ōtsuki, Tominosuke. A note on metric general connections. Proc. Japan Acad. 38 (1962), no. 8, 409--413. doi:10.3792/pja/1195523278. https://projecteuclid.org/euclid.pja/1195523278


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References

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  • [2] Ehresmann, G.: Les Connexions Infinitesimales dans un Espace Fibre Differentiate, Colloque de Topologie (Espaces fibres), 29-55 (1950).
  • [3] Ehresmann, G.: Les prolongements d'une variete differentiables I, Calcul des jets, prolongement principal, C. R. Paris, 233, 598-600 (1951).
  • [4] Otsuki, T.: Geometries of Connections (in Japanese), Kyoritsu Shuppan Co., (1957).
  • [5] Otsuki, T.: On tangent bundles of order 2 and affine connections, Proc. Japan Acad., 34, 325-330 (1958).
  • [6] Otsuki, T.: Tangent bundles of order 2 and general connections, Math. J. Okayama Univ., 8, 143-179 (1958).
  • [7] Otsuki, T.: on general connections I, Math. J. Okayama Univ., 9, 99-164 (1960).
  • [8] Otsuki, T.: On general connections II, Math. J. Okayama Univ., 10, 113-124 (1961).
  • [9] Otsuki, T.: On metric general connections, Proc. Japan Acad., 37, 183-188 (1961).
  • [10] Otsuki, T.: On normal general connections, Kodai Math. Sem. Rep., 13,152-166 (1961).
  • [11] Otsuki, T.: General connections ATA and the parallelism of Levi-Civita, Kodai Math. Sem. Rep., 14, 40-52 (1962).
  • [12] Otsuki, T.: On basic curves in spaces with normal general connections, Kodai Math. Sem. Rep., 14, 110-118 (1962).