Geodesic
On the Sasaki metric of the normal bundle of a submanifold in a Riemannian space
Sbornik. Mathematics, Tome 62 (1989) no. 1, pp. 157-175 
A. A. Borisenko; A. L. Yampol'skii. On the Sasaki metric of the normal bundle of a submanifold in a Riemannian space. Sbornik. Mathematics, Tome 62 (1989) no. 1, pp. 157-175. http://geodesic.mathdoc.fr/item/SM_1989_62_1_a10/
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Voir la notice de l'article provenant de la source Math-Net.Ru

On the normal bundle of a submanifold in a Riemannian space a natural Riemannian metric is introduced. The structure of surfaces with strongly parabolic normal bundle metric is determined. It is shown that the Sasaki metric of the normal bundle of vectors of fixed length of a two-dimensional Veronese surface has constant sectional curvature. Bibliography: 15 titles.

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[9] Borisenko A. A., “O stroenii $l$-mernykh poverkhnostei s vyrozhdennoi vtoroi kvadratichnoi formoi v $n$-mernom evklidovom prostranstve”, Ukr. geometr. sb., 13, Kharkov, 1973, 18–27 | MR | Zbl

[10] Aminov Yu. A., “Kruchenie dvumernykh poverkhnostei v evklidovom prostranstve”, Ukr. geometr. sb., 17, Kharkov, 1975, 3–14 | Zbl

[11] Yampolskii A. L., “K geometrii sfericheskikh kasatelnykh rassloenii rimanovykh mnogoobrazii”, Ukr. geometr. sb., 24, Kharkov, 1981, 128–132

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[13] Yampolskii A. L., “Krivizna metriki Sasaki sfericheskikh kasatelnykh rassloenii”, Ukr. geometr. sb., 28, Kharkov, 1985, 132–145 | MR

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