The mean curvature of cylindrically bounded submanifolds

L. J. Alias, G. Pacelli Bessa, M. Dajczer

We give an estimate of the mean curvature of a complete submanifold lying inside a closed cylinder $B(r)\times {\mathbb{R}}^{\ell }$ in a product Riemannian manifold $N^{n-\ell}\times\R^{\ell}…