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20022025
most citedEigenvalue estimates for submanifolds with locally bounded mean curvature

75 citations · 184 across the 34 of their papers we have counts for

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Showing 2006Show all

6 papers · 1 filter

math.DG2006★ 4 cited

On cylindrically bounded -Hypersurfaces of

G. Pacelli Bessa, Silvana M. Costa

We show that -hypersurfaces of contained in a vertical cylinder and with Ricci curvature with strong quadratic decay have mean curvature $| H|…

math.DG2006

A note on the first eigenvalue of spherically symmetric manifolds

Cleon S. Barroso, G. Pacelli Bessa

We give lower and upper bounds for the first eigenvalue of geodesic balls in spherically symmetric manifolds. These lower and upper bounds are -dependent on the metric coeff…

math.DG2006

On compact CMC-Hypersurfaces of

Gregorio Pacelli Bessa, J. Fabio Montenegro

Let be the set of all closed -hypersurfaces , where is a simply connected complete Riemannian -manifold wi…

math.DG2006

Complete subamanifolds of with finite topology

G. Pacelli Bessa, L. Jorge, J. Fabio Montenegro

We show that a complete -dimensional immersed submanifold of with is properly immersed and have finite topology, where is an s…

math.DG2006★ 11 cited

Foliations and Chern-Heinz inequalities

J. L. M. Barbosa, G. Pacelli Bessa, J Fabio Montenegro

We extend the Chern-Heinz inequalities about mean curvature and scalar curvature of graphs of -functions to leaves of transversally oriented codimension one -foliatio…

math.DG2006★ 13 cited

Lower bounds for the first Laplacian eigenvalue of geodesic balls of spherically symmetric manifolds

Gregorio Pacelli Bessa, Cleon S. Barroso

We obtain lower bounds for the first Laplacian eigenvalues of geodesic balls of spherically symmetric manifolds. These lower bounds are only dependent on the metric coeffic…