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Affine almost contact manifolds and f-manifolds with affine Killing structure tensors. (English) Zbl 0234.53041


MSC:

53C15 General geometric structures on manifolds (almost complex, almost product structures, etc.)
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[1] BLAIR, D. E., The theory of quasi-Sasakian structures. J. of Diff. Geom. 1 (1967), 331-345. · Zbl 0163.43903
[2] BLAIR, D. E., Almost contact manifolds with Killing structure tensors. · Zbl 0239.53031 · doi:10.2140/pjm.1971.39.285
[3] GRAY, A., Nearly Kaehler manifolds. To appear in J. of Diff. Geom
[4] NAKAGAWA, H., /-structures induced on submanifolds in spaces, almost Hermi tian or Kahlerian. Kdai Math. Sem. Rep. 18 (1966), 161-183. · Zbl 0146.17801 · doi:10.2996/kmj/1138845194
[5] SASAKI, S., On differentiate manifolds with certain structures which are clo sely related to almost contact structure I; II (with Y. Hatakeyama). Thoku Math. J. 12 (1960), 459-476 13 (1961), 281-294. · Zbl 0192.27903 · doi:10.2748/tmj/1178244407
[6] TASHIRO, Y., On contact structures of hypersurfaces in complex manifolds, I. Thoku Math. J. 15 (1963), 62-78 · Zbl 0113.37204 · doi:10.2748/tmj/1178243870
[7] YANO, K., Differential geometry on complex and almost complex spaces. Per gamon Press, New York, 1965. · Zbl 0127.12405
[8] YANO, K., Integral formulas in Riemannian geometry. Marcel Dekker, Inc., New York, 1970. · Zbl 0213.23801
[9] YANO, K. AND S. BOCHNER, Curvature and Betti numbers. Annals of Mathe matics Study, No. 32, Princeton University Press, 1953. · Zbl 0051.39402
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