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On hypersurfaces with normal \((f,g,u{_(k)},\alpha_{(k)})\)-structure in an even-dimensional sphere. (English) Zbl 0321.53030


MSC:

53C15 General geometric structures on manifolds (almost complex, almost product structures, etc.)
53C40 Global submanifolds
Full Text: DOI

References:

[1] BLAIR, D. E., G. D. LUDDEN and M. OKUMURA, Hypersurfacesof even-dimen-sional sphere satisfying a certain commutative condition.J. of Math. Soc. of Japan, 25 (1973), 202-210. · Zbl 0252.53048 · doi:10.2969/jmsj/02520202
[2] BLAIR, D. E., G. D. LUDDENAND K. YANO, Induced structures on submanifolds Kdai Math. Sem. Rep., 22 (1970), 188-198. · Zbl 0202.20902 · doi:10.2996/kmj/1138846117
[3] ISHIHARA, S. ANDU-HANG Ki, Complete Riemanman manifolds with (/, g, u, v, /!) structure. J. of Diff. Geo., 8 (1973), 541-554. · Zbl 0278.53039
[4] Ki, U-HANG, JIN SUK PAK AND HYUN BAE SUH, On (f, g, u^, (^)-structure Kdai Math. Sem. Rep., 26 (1975), 160-175. · Zbl 0303.53041 · doi:10.2996/kmj/1138846998
[5] YANO, K. AND S. ISHIHARA, On a problem of Nomizu-Symth on a normal con tact Riemanman manifold. J. Diff. Geo., 3 (1969), 45-58. · Zbl 0188.54503
[6] OKUMURA, M., Contact hypersurfaces of a certain Kahlean manifold. Thok M. J. (1966), 74-102. · Zbl 0145.18702 · doi:10.2748/tmj/1178243483
[7] YANO, K. ANDU-ANG, Ki, On quasi-normal (/, g, u, v, )-structures. Kda Math. Sem. Rep., 24 (1972), 106-120. · Zbl 0236.53047 · doi:10.2996/kmj/1138846477
[8] YANO, K. AND M. OKUMURA, Invariant hypersurfaces of a manifold wit (/, ^, M, V, ^-structure. Kdai Math. Sem. Rep., 23 (1971), 290-304. · Zbl 0221.53044 · doi:10.2996/kmj/1138846368
[9] YANO, K. AND M. OKUMURA, On (f, g, u, v, )-structures. Kdai Math. Sem Rep., 22 (1970), 401-423. · Zbl 0204.54801 · doi:10.2996/kmj/1138846217
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