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- ETH ZurichCH157 papers
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5 papers · 2 filters
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 in a product Riemannian manifold $N^{n-\ell}\times\R^{\ell}…
On the essential spectrum of Nadirashvili-Martin-Morales minimal surfaces
G. Pacelli Bessa, Luquesio P. Jorge, J. Fabio Montenegro
We show that the spectrum of a complete submanifold properly immersed into a ball of a Riemannian manifold is discrete, provided the norm of the mean curvature vector is sufficient…
On submanifolds with tamed second fundamental form
G. Pacelli Bessa, M. Silvana Costa
We show that a complete submanifold with tamed second fundamental form in a complete Riemannian manifold with sectional curvature are proper, (compact i…
Eigenvalue Estimates for submanifolds of with locally bounded mean curvature
G. Pacelli Bessa, M. Silvana Costa
We give lower bounds for the fundamental tone of open sets in submanifolds with locally bounded mean curvature in , where is an -dimensional complete R…
A characterization of quadric constant mean curvature hypersurfaces of spheres
Luis J. Alias, Aldir Brasil, Oscar Perdomo
Let be an immersion of a complete -dimensional oriented manifold. For any , let us denote by $\ell_v:M\to\m…