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Fibred spaces with almost Hermitian metrics whose base spaces admit almost contact metric structures. (English) Zbl 0172.23201


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[1] Bishop, R. L., and S. I. Goldberg: Tensor analysis on manifolds. New York: Macmillan 1968. · Zbl 0218.53021
[2] Eckmann, B., et A. Froelicher: Sur l’intégrabilité des structures presque complexes. C. R. Acad. Sci. Paris232, 2284-2286 (1951). · Zbl 0042.40503
[3] Kaluza, Th.: Zum Unitätsproblem der Physik. Sitzungsber. Preuss. Akad. Wiss. (1921), 966-972. · JFM 48.1032.03
[4] Klein, O.: Quantentheorie und fünfdimensionale Relativitätstheorie. Zeitschr. für Physik37, 895-906 (1926). · JFM 52.0970.09 · doi:10.1007/BF01397481
[5] Lichnerowicz, A.: Généralisation de la géometrie kaehlérienne globale. Colloque de Geom. Diff. (1951), 99-122.
[6] Muto, Y.: On some properties of a fibred Riemannian manifold. Sci. Rep. Yokohama Nat. Univ.1, 1-14 (1952).
[7] Okubo, T.: On local imbedding of Kaehlerian manifoldsK 2n in a flat Hermitian manifoldH 2n+2. Yokohama Math. J.10, 25-43 (1962). · Zbl 0113.15401
[8] Sasaki, S.: On differentiable manifolds with certain structures which are closely related to almost contact structure. I. Tohoku Math. J.12, 459-476 (1960). · Zbl 0192.27903 · doi:10.2748/tmj/1178244407
[9] ??, and Y. Hatakeyama: On differentiable manifolds with certain structures which are closely related to almost contact structures, II. Tohoku Math. J.13, 281-294 (1961). · Zbl 0112.14002 · doi:10.2748/tmj/1178244304
[10] Tachibana, S.: On almost analytic vectors in certain almost-Hermitian manifolds. Tohoku Math. J.11, 351-363 (1959). · Zbl 0145.42002 · doi:10.2748/tmj/1178244533
[11] Yano, K.: The theory of Lie derivatives and their applications. Amsterdam: 1957. · Zbl 0077.15802
[12] ?? Differential geometry on complex and almost complex spaces. New York: Pergamon Press (1965). · Zbl 0127.12405
[13] ??, and S. Ishihara: Differential geometry of fibred spaces. Kodai Math. Sem. Rep.19, 257-288 (1967). · Zbl 0153.51204 · doi:10.2996/kmj/1138845436
[14] ?? ?? Fibred spaces with invariant Riemannian metric. Kodai Math. Sem. Rep.19, 317-360 (1967). · Zbl 0156.42501 · doi:10.2996/kmj/1138845440
[15] ?? ?? Fibred spaces with projectable Riemannian metric. J. Diff. Geometry1, 71-88 (1967). · Zbl 0162.25203
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