On locally convex hypersurfaces in Hadamard manifolds
Matematičeskie zametki, Tome 67 (2000) no. 4, pp. 498-507.

Voir la notice de l'article provenant de la source Math-Net.Ru

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A. A. Borisenko. On locally convex hypersurfaces in Hadamard manifolds. Matematičeskie zametki, Tome 67 (2000) no. 4, pp. 498-507. http://geodesic.mathdoc.fr/item/MZM_2000_67_4_a2/

[1] Stenberg S., Lektsii po differentsialnoi geometrii, Mir, M., 1970

[2] Chern S. S., Lashof R. K., “The total curvature of immersed manifolds”, Amer. J. Math., 79 (1957), 308–318

[3] Heijenoort S., “On locally convex manifolds”, Communications on pure and applied mathematics, 5 (1952), 223–242 | DOI | MR

[4] Currier C., “On hypersurfaces of Hyperbolic space infinitesimally supported by horospheres”, Trans. Amer. Math. Soc., 313:1 (1989), 420–431 | DOI | MR

[5] Borisenko A. A., Vlasenko D. I., “Vypuklye poverkhnosti v prostranstve Lobachevskogo”, Matemat. fizika, analiz, geometriya, 4:3 (1997), 278–285 | MR | Zbl

[6] Burago Yu. D., Zalgaller V. A., Vvedenie v rimanovu geometriyu, Nauka, M., 1994 | Zbl

[7] Burago Yu. D., Zalgaller V. A., “Vypuklye mnozhestva v rimanovykh prostranstvakh”, Uspekhi matem. nauk, 32:3 (1977), 3–55 | MR | Zbl

[8] Gromov M., Lectures on manifolds of nonpositive curvature, Boston, 1985

[9] Alexander S., “Locally convex hypersurfaces of negatively curved spaces”, Proc. AMS, 64:2 (1977), 321–325 | DOI | MR | Zbl

[10] Borisenko A. A., “Vneshnyaya geometriya silno parabolicheskikh mnogomernykh podmnogoobrazii”, Uspekhi matem. nauk, 52:6(318) (1997), 3–52 | MR | Zbl

[11] Warner F. W., “Extensions of the Rauch comparison theorem to submanifolds”, Trans. Amer. Math. Soc., 122:2 (1966), 341–356 | DOI | MR | Zbl

[12] Grei A., Trubki, Mir, M., 1993