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The structure of nearly Kähler manifolds. (English) Zbl 0345.53019

MSC:
53C15 General geometric structures on manifolds (almost complex, almost product structures, etc.)
53B20 Local Riemannian geometry
57R20 Characteristic classes and numbers in differential topology
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References:
[1] Gray, A.: Minimal varieties and almost Hermitian submanifolds. Michigan Math. J.12, 273-287 (1965) · Zbl 0132.16702 · doi:10.1307/mmj/1028999364
[2] Gray, A.: Some examples of almost Hermitian manifolds. Ill. J. Math.10, 353-366 (1966) · Zbl 0183.50803
[3] Gray, A.: Vector cross products on manifolds. Transactions Amer. Math. Soc.141, 465-504 (1969) · Zbl 0182.24603 · doi:10.1090/S0002-9947-1969-0243469-5
[4] Gray, A.: Nearly Kähler manifolds. J. Diff. Geometry4, 283-309 (1970) · Zbl 0201.54401
[5] Gray, A.: Riemannian manifolds with geodesic symmetries of order 3. J. Diff. Geometry7, 343-369 (1972) · Zbl 0275.53026
[6] Gray, A.: Classification des variétés approximativement kähleriennes de courbure sectionnelle constante. C.R. Acad. Sci. Paris, Ser. A.279, 797-800 (1974) · Zbl 0301.53016
[7] Kot?, S.: Some theorems on almost Kählerian spaces. J. Math. Soc. Japan12, 422-433 (1960) · Zbl 0192.28303 · doi:10.2969/jmsj/01240422
[8] Kobayashi, S., Nomizu, K.: Foundations of Differential Geometry. Vol. II. New York: John Wiley 1969 · Zbl 0175.48504
[9] Masumoto, M.: On 6-dimensional almost Tachibana spaces. Tensor, N.S23, 250-252 (1972) · Zbl 0236.53048
[10] Satô, I.: On specialK-spaces of constant holomorphic sectional curvature. Tensor, N.S24, 355-362 (1972)
[11] Takamatsu, K.: Some properties of 6-dimensionalK-spaces. K?dai Math. Sem. Rep.23, 215-232 (1971) · Zbl 0222.53036 · doi:10.2996/kmj/1138846322
[12] Watanabe, Y., Takamatsu, K.: On aK-space of constant holomorphic sectional curvature. K?dai Math. Sem. Rep.25, 297-306 (1973) · Zbl 0276.53029 · doi:10.2996/kmj/1138846818
[13] Yamaguchi, S., Ch?man, O., Masumoto, M.: On a special almost Tachibana space. Tensor N.S24 351-354 (1972)
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