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Classification of (f\(\xi\) \(\eta\) \(\rho\) )-structures. (English) Zbl 0559.53020

Translation from Itogi Nauki Tekh., Ser. Probl. Geom. 14, 57-72 (Russian) (1983; Zbl 0519.53030).

MSC:

53C15 General geometric structures on manifolds (almost complex, almost product structures, etc.)

Citations:

Zbl 0519.53030
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Full Text: DOI

References:

[1] A. L. Bashkene, ”On structures induced on submanifolds of almost complex manifolds,” Liet. Mat. Rinkinys (Lit. Mat. Sb.), No. 1, 23–34 (1976).
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[8] A. P. Norden, ”Spaces with Cartesian composition,” Izv. Vyssh. Uchebn. Zaved., Mat., No. 4, 117–128. (1963).
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[10] N. M. Ostianu, ”Differential-geometric structures on differentiable manifolds,” in: Problems in Geometry [in Russian], Vol. 8 (Itogi Nauki i Tekh. VINITI Akad. Nauk SSSR), Moscow (1977), pp. 89–111.
[11] N. M. Ostianu, R. F. Dombrovskii, and N. D. Polyakov, ”Submanifolds of differentiable manifolds equipped with differential-geometric structures. II. Submanifolds of codimension 2 of contact and almost contact manifolds,” in: Problems in Geometry [in Russian], Vol. 13 (Itogi Nauki i Tekh. VINITI Akad. Nauk SSSR), Moscow (1982), pp. 27–67.
[12] N. M. Ostianu and N. D. Polaykov, ”Submanifolds of differentiable manifolds provided with differential-geometric structures. I,” in: Problems in Geometry [in Russian], Vol. 11 (Itogi Nauki i Tekh. VINITI Akad. Nauk SSSR), Moscow (1980), pp. 3–63.
[13] N. D. Polyakov, ”Classification of induced (f{\(\xi\)}{\(\eta\)}{\(\rho\)})-structures on submanifolds of codimension 2 of an almost-contact manifold,” Moscow State Univ. (1982).
[14] N. D. Polyakov, ”Differential-geometric structures on an almost contact manifold,” in: Problems in Geometry [in Russian], Vol. 8 (Itogi Nauki i Tekh. VINITI Akad. Nauk SSSR), Moscow (1977), pp. 113–137.
[15] D. E. Blair, G. D. Ladden, and K. Yano, ”Induced structures on submanifolds,” Kodai Math. Sem. Reports,22, No. 2, 188–198 (1970). · Zbl 0202.20902 · doi:10.2996/kmj/1138846117
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[20] K. Yano and Ki U-Hang, ”On quasinormal (f, g, u, v, {\(\lambda\)})-structures,” Kodai Math. Sem. Reports,24, 106–170 (1972). · Zbl 0236.53047 · doi:10.2996/kmj/1138846477
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