Geodesic
The exterior diameter of an immersed Riemannian manifold
Sbornik. Mathematics, Tome 21 (1973) no. 3, pp. 449-454 
Yu. A. Aminov. The exterior diameter of an immersed Riemannian manifold. Sbornik. Mathematics, Tome 21 (1973) no. 3, pp. 449-454. http://geodesic.mathdoc.fr/item/SM_1973_21_3_a6/
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     title = {The exterior diameter of an immersed {Riemannian} manifold},
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     number = {3},
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     url = {http://geodesic.mathdoc.fr/item/SM_1973_21_3_a6/}
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In this paper we establish a general lower bound for the radius of the sphere containing a complete regular Riemannian manifold $F^n$ in Euclidean space $E^N$, $N>n$. Bibliography: 10 titles.

[1] Dzh. Nesh, “Problema vlozhenii dlya rimanovykh mnogoobrazii”, Uspekhi matem. nauk, XXVI:4 (160) (1971), 173–216

[2] S. S. Chern, “The geometry of $G$-structures”, Bull. Amer. Math. Soc., 72:2 (1966), 167–219 | DOI | MR | Zbl

[3] R. Osserman, “Minimalnye poverkhnosti”, Uspekhi matem. nauk, XXII:4 (136) (1967), 55–136 | MR

[4] Dzh. Milnor, Teoriya Morsa, izd-vo «Mir», Moskva, 1965 | MR

[5] L. P. Eizenkhart, Rimanova geometriya, IL, Moskva, 1948

[6] Yu. D. Burago, Neravenstva izoperimetricheskogo tipa v teorii poverkhnostei ogranichennoi vneshnei krivizny, Zapiski nauchnykh sekhminarov LOMI, 10, 1968 | MR | Zbl

[7] Yu. D. Burago, “Otsenka snizu prostranstvennogo diametra poverkhnosti cherez ee vnutrennii radius i kriviznu”, Matem. sb., 86 (128) (1971), 409–418 | MR | Zbl

[8] A. L. Verner, “Neogranichennost giperbolicheskogo roga v evklidovom prostranstve”, Sib. matem. zh., 11:1 (1970), 20–29 | MR | Zbl

[9] Yu. A. Aminov, “O vneshnem diametre poverkhnosti otritsatelnoi krivizny”, Ukr. geom. sb., 1973, no. 13, 3–8 | MR

[10] Yu. A. Aminov, “O dvumernykh metrikakh otritsatelnoi krivizny”, Ukr. geom. sb., 1973, no. 13, 9–14 | MR