11 citations · 26 across the 12 of their papers we have counts for
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Stochastic half-space theorems for minimal surfaces and -surfaces of
G. Pacelli Bessa, Luquesio P. Jorge, Leandro Pessoa
We prove a version of the strong half-space theorem between the classes of recurrent minimal surfaces and complete minimal surfaces with bounded curvature of $\mathbb{R}^{3}_{\rais…
On the Gauss map of finite geometric type surfaces
Nícolas A. de Andrade, Luquesio P. Jorge
Surfaces of finite geometric type are complete, immersed into the tree-dimensional Euclidean space with finite total curvature and Gauss map extending to an oriented compact surfac…
A Picard type theorem for Hyperbolic Gauss Map of CMC-1 Surfaces in Hyperbolic 3-space and de Sitter 3-space
Nicolas A. de Andrade, Luquesio P. Jorge
In a recent paper Jorge and Mercuri proved that the image of Gauss map of a complete non flat minimal surfaces in R3 with finite total curvature omits at most 2 points. In this wor…
The Gauss map of a complete minimal surface with finite total curvature
Luquesio P. Jorge, Francesco Mercuri
In [15] Robert Osserman proved that the image of the Gauss map of a complete, non flat minimal surface in R^3 with finite total curvature miss at most 3 points. In this paper we pr…
Dirichlet spectrum and Green function
G. Pacelli Bessa, Vicent Gimeno, Luquesio P. Jorge
In the first part of this article we obtain an identity relating the radial spectrum of rotationally invariant geodesic balls and an isoperimetric quotient $\sum 1/λ_{i}^{\rm rad}=…
On the spectrum of bounded immersions
Gregorio Pacelli Bessa, Luquesio P. Jorge, Luciano Mari
In this paper, we investigate the relationship between the discreteness of the spectrum of a non-compact, extrinsically bounded submanifold $φ\colon M^m \ra N^n$ and the Hausdorff…