On totally umbilical submanifolds immersed in a~weakly symmetric Riemannian manifold
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 6 (1998), pp. 54-64.

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M. Prvanovich. On totally umbilical submanifolds immersed in a~weakly symmetric Riemannian manifold. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 6 (1998), pp. 54-64. http://geodesic.mathdoc.fr/item/IVM_1998_6_a6/

[1] Binh T. Q., “On weakly symmetric Riemannian spaces”, Publ. Math., 42:1–2 (1993), 103–107 | MR | Zbl

[2] Chaki M. C., “On pseudo-symmetric manifolds”, Ann. st. Univ. Iasi, 33:1 (1987), 53–58 | MR | Zbl

[3] Chaki M. C., De U. C., “On pseudo-symmetric spaces”, Acta Math., 54 (1989), 185–190 | MR | Zbl

[4] Deszcz R., “On pseudosymmetric spaces”, Bull. Soc. math. Belg., Ser. A, 44 (1992), 1–34 | MR | Zbl

[5] Ewert-Krzemieniewski S., “On some generalization of recurrent manifolds”, Mathematica Pannonica, 4:2 (1993), 191–203 | MR | Zbl

[6] Ewert-Krzemieniewski S., “On totally umbilical submanifolds of manifolds with certain recurrent condition imposed on the curvature tensor”, Mathematica Pannonica, 5:1 (1994), 119–130 | MR | Zbl

[7] Miyazawa T., Chūman G., “On certain subspaces of Riemannian recurrent spaces”, Tensor, 23:2 (1972), 253–260 | MR | Zbl

[8] Kruchkovich G. I., “Ob odnom klasse rimanovykh prostranstv”, Tr. semin. po vektorn. i tenzorn. analizu, 1961, no. 11, 103–128 | Zbl

[9] Prvanović M., “Generalized recurrent Riemannian manifold”, Anal. sti. Univ. Iasi, 38:4 (1992), 423–434 | MR | Zbl

[10] Prvanović M., “On weakly symmetric Riemannian manifolds”, Publ. Math., 46:1–2 (1995), 19–25 | MR | Zbl

[11] Ruse H. S., Walker A. G., Willmore T. J., Harmonic spaces, Edizione Cremonese, Roma, 1961 | MR | Zbl

[12] Tamãssy L., Binh T. Q., “On weakly symmetric and weakly projective symmetric Riemannian manifolds”, Coll. Math. Soc. J. Bolyai, 56, 1992, 663–669 | MR