Geodesic
Bounded mean curvature isometric immersions of a compact Riemannian manifold with images contained in a tube
Glasgow mathematical journal, Tome 40 (1998) no. 1, pp. 97-107

Voir la notice de l'article provenant de la source Cambridge University Press

We characterize some isometric immersions of a compact Riemannian manifold into a tube of Sn(λ) or CPn(λ) (in fact, in some more general spaces in the real case) around a totally geodesic Sq(λ) or CPq(λ) respectively, with the norm of the mean curvature of the immersion bounded from above. This bound depends on the radius of the tube, and is related with the mean curvature of its boundary. 
Carreras, Francisco J.; Giménez, Fernando; Miquel, Vicente. Bounded mean curvature isometric immersions of a compact Riemannian manifold with images contained in a tube. Glasgow mathematical journal, Tome 40 (1998) no. 1, pp. 97-107. doi: 10.1017/S0017089500032389
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