Geodesic
On Isometric Immersion of Nilmanifolds in Euclidean space
Matematičeskie zametki, Tome 87 (2010) no. 1, pp. 130-132.

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

Keywords: Riemannian manifold, class-2 Riemannian nilmanifold, regular isometric immersion, nilpotent Lie algebra, Heisenberg group, left-invariant metric, sectional curvature. 
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A. A. Borisenko. On Isometric Immersion of Nilmanifolds in Euclidean space. Matematičeskie zametki, Tome 87 (2010) no. 1, pp. 130-132. http://geodesic.mathdoc.fr/item/MZM_2010_87_1_a13/

[1] H. J. Rivertz, An obstruction to isometric immersions of the three dimensional Heisenberg group into $\mathbb R^4$, Preprint Ser. 1999. Pure Math., Preprint No 22, Oslo Univ., Oslo, 1999, 4 pp.

[2] L. A. Masaltsev, Matem. zametki, 76:6 (2004), 868–873 | MR | Zbl

[3] P. Eberlein, Ann. Sci. École Norm. Sup. (4), 27:5 (1994), 611–660 | MR | Zbl

[4] T. Osuki, Proc. Japan. Acad., 29 (1953), 93–100

[5] A. A. Borisenko, Vnutrennyaya i vneshnyaya geometriya mnogomernykh podmnogoobrazii, Ekzamen, M., 2003