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Invariant submanifolds of normal contact metric manifolds. (English) Zbl 0265.53049


MSC:

53C40 Global submanifolds
53B25 Local submanifolds
53C15 General geometric structures on manifolds (almost complex, almost product structures, etc.)
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[1] KOBAYSHI, S., AND K. NOMIZU, Foundations of differential geometry Vol. 1 and 2.Interscience (1963and 1969).
[2] MATSUSHIMA, Y., Vector bundle valued harmonic forms and immersions o Riemanman manifolds. Osaka J. Math. 8 (1971), 1-13. · Zbl 0218.53079
[3] NOMIZU, K., On the space of generalized curvature tensor fields and secon fundamental forms. Osaka J. Math. 8 (1971), 21-28. · Zbl 0218.53064
[4] OGIUE, K., On almost contact manifolds admitting axiom of planes or axiom o free mobility. Kdai Math. Sem. Rep. 16 (1964), 223-232. · Zbl 0136.18003 · doi:10.2996/kmj/1138844949
[5] SASAKI, S., Almost contact manifolds. Lecture note, Thoku Univ. (1965, 1967) · Zbl 0152.20202
[6] TANNO, S., Isometric immersions of Sasakian manifolds in spheres. Kdai Math Sem. Rep. 21 (1969), 448-458. · Zbl 0196.25501 · doi:10.2996/kmj/1138845991
[7] YANO, K., AND S. ISHIHARA, Invariant submanifolds of almost contact manifolds Kdai Math. Sem. Rep. 21 (1969), 350-364. · Zbl 0197.18403 · doi:10.2996/kmj/1138845942
[8] YANO, K., AND S. ISHIHARA, On a problem of Nomizu-Smyth on a normal contac Riemanman manifold. J. Differential Geometry 3 (1969), 45-58. · Zbl 0188.54503
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