5 citations · 13 across the 12 of their papers we have counts for
Showing 2013 · math.DGShow all
3 papers · 2 filters
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
Sobolev and isoperimetric inequalities for submanifolds in weighted ambient spaces
Marcio Batista, Heudson Mirandola
In this paper, we prove a Sobolev and isoperimetric inequalities for submanifold in weighted manifold. Our results generalize the Hoffman-Spruck's inequalities.
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.