5 citations · 25 across the 13 of their papers we have counts for
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math.DG2013★ 1 cited
Some Isoperimetric Inequalities and Eigenvalue Estimates in Weighted Manifolds
Marcio Batista, Marcos P. Cavalcante, Juncheol Pyo
In this paper we prove general inequalities involving the weighted mean curvature of compact submanifolds immersed in weighted manifolds. As a consequence we obtain a relative line…
math.DG2013
On the fundamental tone of immersions and submersions
Marcos Petrúcio Cavalcante, Fernando Manfio
In this paper we obtain lower bound estimates of the spectrum of Laplace-Beltrami operator on complete submanifolds with bounded mean curvature, whose ambient space admits a Rieman…
math.DG2013★ 5 cited
The p-Hyperbolicity of Infinity Volume Ends and Applications
Marcio Batista, Marcos Petrucio Cavalcante, Newton Santos
In this paper we prove a characterization of -hyperbolic ends on complete Riemannian manifolds which carries a Sobolev type inequality.