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@article{IVM_1998_6_a5, author = {V. A. Mirzoyan}, title = {On a~class of submanifolds with a~parallel fundamental form of higher order}, journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika}, pages = {46--53}, publisher = {mathdoc}, number = {6}, year = {1998}, language = {ru}, url = {http://geodesic.mathdoc.fr/item/IVM_1998_6_a5/} }
V. A. Mirzoyan. On a~class of submanifolds with a~parallel fundamental form of higher order. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 6 (1998), pp. 46-53. http://geodesic.mathdoc.fr/item/IVM_1998_6_a5/
[1] Lumiste Yu. G., “Polusimmetricheskie podmnogoobraziya”, Itogi nauki i tekhn. VINITI. Probl. geometrii, 23, 1991, 3–28 | MR
[2] Mirzoyan V. A., “$\mathrm{Ric}$-polusimmetricheskie podmnogoobraziya”, Itogi nauki i tekhn. VINITI. Probl. geometrii, 23, 1991, 29–66 | MR
[3] Mirzoyan V. A., “O podmnogoobraziyakh s parallelnoi fundamentalnoi formoi $\alpha_s$ $(s\geqslant3)$”, Uchen. zap. Tartusk. un-ta, 1991, no. 930, 97–112 | MR
[4] Mirzoyan V. A., “Strukturnye teoremy dlya rimanovykh $\mathrm{Ric}$-polusimmetricheskikh prostranstv”, Izv. vuzov. Matematika, 1992, no. 6, 80–89 | MR | Zbl
[5] Mirzoyan V. A., “Podmnogoobraziya s parallelnym tenzorom Richchi v evklidovykh prostranstvakh”, Izv. vuzov. Matematika, 1993, no. 9, 22–27 | MR | Zbl
[6] Mirzoyan V. A., “Strukturnye teoremy dlya kelerovykh $\mathrm{Ric}$-polusimmetricheskikh prostranstv”, Dokl. NAN Armenii, 95:1 (1995), 3–5 | MR
[7] Dillen F., Nölker S., “Semi-parallelity, multi-rotation surfaces and the helix-property”, J. reine angew. Math., 435 (1993), 33–63 | MR | Zbl
[8] Lumiste Ü., “Modified Nomizu problem for semi-parallel submanifolds”, Geom. and Topol. of Submanifolds, 7 (1995), 176–181 | MR
[9] Lumiste Ü., “Symmetric orbits of orthogonal Veronese actions and their second order envelopes”, Results in Mathematics, 27 (1995), 284–301 | MR | Zbl
[10] Chen B.-Y., Geometry of submanifolds, Marcel Dekker, New York, 1973, 308 pp. | MR | Zbl
[11] Akivis M. A., “O stroenii dvukhkomponentnykh sopryazhennykh sistem”, Tr. Geometrich. seminara VINITI AN SSSR, 1, 1966, 7–31 | MR | Zbl
[12] Akivis M. A., “O stroenii sopryazhennykh sistem na mnogomernykh poverkhnostyakh”, Izv. vuzov. Matematika, 1970, no. 10, 3–11 | MR | Zbl
[13] Ryzhkov V. V., “Sopryazhennye sistemy na mnogomernykh poverkhnostyakh”, Tr. Mosk. matem. o-va, 7, 1958, 179–226 | Zbl
[14] Shirokov P. A., “Postoyannye polya vektorov i tenzorov $2$-go poryadka v Riemann'ovykh prostranstvakh”, Izv. fiz.-matem. o-va pri Kazansk. un-te. Ser. 2, 25 (1925), 86–114
[15] Mirzoyan V. A., “Podmnogoobraziya s kommutiruyuschim normalnym vektornym polem”, Itogi nauki i tekhn. VINITI. Probl. geometrii, 14, 1983, 73–100 | MR | Zbl
[16] Mirzoyan V. A., “Razlozhenie v proizvedenie podmnogoobrazii s parallelnoi fundamentalnoi formoi $\alpha_s$ $(s\geqslant 3)$”, Izv. vuzov. Matematika, 1991, no. 8, 44–54 | MR
[17] Mirzoyan V. A., Podmnogoobraziya s parallelnoi fundamentalnoi formoi vysshego poryadka, Dep. v VINITI 20.06.78, No 2074-78, Tartusk. un-t, Tartu, 1978, 47 pp. | Zbl
[18] Erbacher J., “Reduction of the codimension of an isometric immersion”, J. Different. Geom., 5:3–4 (1971), 333–340 | MR | Zbl
[19] Lumiste Yu. G., Chakmazyan A. V., “Podmnogoobraziya s parallelnym normalnym vektornym polem”, Izv. vuzov. Matematika, 1974, no. 5, 148–157 | MR | Zbl
[20] Moore J. D., “Isometric immersions of Riemannian products”, J. Different. Geom., 5:1–2 (1971), 159–168 | MR | Zbl
[21] Ferus D., “Produkt-Zerlegung von Immersionen mit paralleler zweiter Fundamentalform”, Math. Ann., 211:1 (1974), 1–5 | DOI | MR | Zbl
[22] Lumiste Yu. G., “Neprivodimye podmnogoobraziya malykh razmernostei s parallelnoi tretei fundamentalnoi formoi”, Uchen. zap. Tartusk. un-ta, 1986, no. 734, 50–62 | MR | Zbl
[23] Lumiste Ü., “Normally flat submanifolds with parallel third fundamental form”, Proc. Estonian Acad. sci. Phys. Math., 38:2 (1989), 129–138 | MR | Zbl
[24] Lumiste Ü., “Three-dimensional submanifolds with parallel third fundamental form in Euclidean spaces”, Tartu Ülikooli Toimetised. Acta et comm. Univ. Tartuensis, 1990, no. 899, 45–56 | MR | Zbl
[25] Lumiste Ü., “On submanifolds with parallel higher order fundamental form in Euclidean spaces”, Lect. Notes Math., 1481, 1990, 126–137 | MR
[26] Dillen F., “Higher order parallel submanifolds”, Geom. and Topol. of submanifolds, 3 (1991), 148–152 | MR