57 citations · 123 across the 20 of their papers we have counts for
22 papers
Topics in Probability, Parametric Estimation and Stochastic Calculus
Levi Lopes de Lima
We begin our journey by recalling the fundamentals of Probability Theory that underlie one of its most significant applications to real-world problems: Parametric Estimation. Throu…
Einstein-Yang-Mills fields in conformally compact manifolds
Levi Lopes de Lima
We study the deformation theory of Einstein-Yang-Mills fields over conformally compact, asymptotically locally hyperbolic manifolds. We prove that if an Einstein-Yang-Mills field $…
The scalar curvature in wedge spaces: existence and obstructions
Levi Lopes de Lima
We study the scalar curvature of incomplete wedge metrics in certain stratified spaces with a single singular stratum (wedge spaces). Building upon several well established technic…
Mapping properties of geometric elliptic operators in conformally conical spaces: an introduction with examples
Levi Lopes de Lima
In this largely expository note, we discuss the mapping properties of the Laplacian (and other geometric elliptic operators) in spaces with an isolated conical singularity followin…
Rigidity of non-compact static domains in hyperbolic space via positive mass theorems
Sergio Almaraz, Levi Lopes de Lima
We single out a notion of staticity which applies to any domain in hyperbolic space whose boundary is a non-compact totally umbilical hypersurface. For (time-symmetric) initial dat…
The scalar curvature in conical manifolds: some results on existence and obstructions
Levi Lopes de Lima
We first show that existence results due to Kazdan-Warner and Cruz-Vitório can be extended to the category of manifolds with an isolated conical singularity. More precisely, we che…
Recurrence and transience for normally reflected Brownian motion in warped product manifolds
Levi Lopes de Lima
We establish an integral test describing the exact cut-off between recurrence and transience for normally reflected Brownian motion in certain unbounded domains in a class of warpe…
A Feynman-Kac formula for differential forms on manifolds with boundary and applications
Levi Lopes de Lima
We prove a Feynman-Kac formula for differential forms satisfying absolute boundary conditions on Riemannian manifolds with boundary and of bounded geometry. We use this to construc…
Deforming the scalar curvature of the de Sitter-Schwarzschild space
C. Tiarlos Cruz, Levi Lopes de Lima, José Fabio Montenegro
Building upon the work of Brendle, Marques and Neves on the construction of counterexamples to Min-Oo's conjecture, we exhibit deformations of the de Sitter-Schwarzschild space of…
A positive mass theorem for asymptotically flat manifolds with a non-compact boundary
Sergio Almaraz, Ezequiel Barbosa, Levi Lopes de Lima
We prove a positive mass theorem for -dimensional asymptotically flat manifolds with a non-compact boundary if either or if and the manifold is spin. T…
On the limiting behavior of the Brown-York quasi-local mass in asymptotically hyperbolic manifolds
Ezequiel Barbosa, Levi Lopes de Lima, Frederico Girão
We show that the limit at infinity of the vector-valued Brown-York-type quasi-local mass along any coordinate exhaustion of an asymptotically hyperbolic -manifold satisfying the…
Penrose inequalities and a positive mass theorem for charged black holes in higher dimension
Levi Lopes de Lima, Frederico Girão, Weslley Lozório +1
We use the inverse mean curvature flow to establish Penrose-type inequalities for time-symmetric Einstein-Maxwell initial data sets which can be suitably embedded as a hypersurface…
A Penrose inequality for asymptotically locally hyperbolic graphs
Levi Lopes de Lima, Frederico Girão
We use the inverse mean curvature flow to prove a sharp Alexandrov-Fenchel-type inequality for a class of hypersurfaces in certain locally hyperbolic manifolds. As an application w…
An Alexandrov-Fenchel-type inequality in hyperbolic space with an application to a Penrose inequality
Levi Lopes de Lima, Frederico Girão
We prove a sharp Alexandrov-Fenchel-type inequality for star-shaped, strictly mean convex hypersurfaces in hyperbolic -space, . The argument uses two new monotone quant…
A rigidity result for the graph case of the Penrose inequality
Levi Lopes de Lima, Frederico Girão
In this note we prove a global rigidity result for asymptotically flat, scalar flat Euclidean hypersurfaces with a minimal horizon lying in a hyperplane, under a natural ellipticit…
Positive mass and Penrose type inequalities for asymptotically hyperbolic hypersurfaces
Levi Lopes de Lima, Frederico Girão
We establish versions of the Positive Mass and Penrose inequalities for a class of asymptotically hyperbolic hypersurfaces. In particular, under the usual dominant energy condition…
The ADM mass of asymptotically flat hypersurfaces
Levi Lopes de Lima, Frederico Girão
We provide integral formulae for the ADM mass of asymptotically flat hypersurfaces in Riemannian manifolds with a certain warped product structure in a neighborhood of infinity, th…
On bifurcation of solutions of the Yamabe problem in product manifolds
L. L. de Lima, P. Piccione, M. Zedda
We study local rigidity and multiplicity of constant scalar curvature metrics in arbitrary products of compact manifolds. Using (equivariant) bifurcation theory we determine the ex…
The Yamabe problem for Gauss-Bonnet curvatures: a local result around space forms
Levi Lopes de Lima, Newton Luis Santos
It is shown in the paper "Variational Properties of the Gauss-Bonnet Curvatures" of M.L. Labbi, that metrics with constant 2k-Gauss-Bonnet curvature on a closed n-dimensional manif…
Deformations of 2k-Einstein structures
Levi Lopes de Lima, Newton Luis Santos
It is shown that the space of infinitesimal deformations of 2k-Einstein structures is finite dimensional at compact non-flat space forms. Moreover, spherical space forms are shown…
Infinite connected sums, K-area and positive scalar curvature
Levi Lopes de Lima
Whyte used the index theory of Dirac operators and Block-Weiberger uniformly finite homology to show that certain infinite connected sums do not carry a metric with nonnegative sca…
Index Growth of hypersurfaces with constant mean curvature
Pierre Bérard, Levi Lopes de Lima, Wayne Rossman
In this paper we give the precise index growth for the embedded hypersurfaces of revolution with constant mean curvature (cmc) 1 in (Delaunay unduloids). When , using…