48 citations · 154 across the 18 of their papers we have counts for
18 papers
A positive mass theorem for non-smooth metrics on asymptotically flat manifolds with non-compact boundary
Sergio Almaraz, Shaodong Wang
On a smooth asymptotically flat Riemannian manifold with non-compact boundary, we prove a positive mass theorem for metrics which are only continuous across a compact hypersurface.…
A priori estimates for negative constant scalar curvature conformal metrics with positive constant boundary mean curvature
Sergio Almaraz, Shaodong Wang
On a compact Riemannian manifold with boundary, we study the set of conformal metrics of negative constant scalar curvature in the interior and positive constant mean curvature on…
A compactness theorem for conformal metrics with constant scalar curvature and constant boundary mean curvature in dimension three
Sergio Almaraz, Shaodong Wang
On a compact three-dimensional Riemannian manifold with boundary, we prove the compactness of the full set of conformal metrics with positive constant scalar curvature and constant…
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…
Energy bounds of sign-changing solutions to Yamabe equations on manifolds with boundary
Sergio Almaraz, Shaodong Wang
We study the Yamabe equation in the Euclidean half-space. We prove that any sign-changing solution has at least twice the energy of a standard bubble. Moreover, a sharper energy lo…
A singular Yamabe problem on manifolds with solid cones
Juan Alcon Apaza, Sergio Almaraz
We study the existence of conformal metrics on non-compact Riemannian manifolds with non-compact boundary, which are complete as metric spaces and have negative constant scalar cur…
Mass, center of mass and isoperimetry in asymptotically flat -manifolds
Sergio Almaraz, Levi Lopes de Lima
We revisit the interplay between the mass, the center of mass and the large scale behavior of certain isoperimetric quotients in the setting of asymptotically flat -manifolds (b…
Spacetime positive mass theorems for initial data sets with noncompact boundary
Sergio Almaraz, Levi Lopes de Lima, Luciano Mari
In this paper, we define an energy-momentum vector at the spatial infinity of either asymptotically flat or asymptotically hyperbolic initial data sets carrying a non-compact bound…
The mass of an asymptotically hyperbolic manifold with a noncompact boundary
Sergio Almaraz, Levi Lopes de Lima
We define a mass-type invariant for asymptotically hyperbolic manifolds with a noncompact boundary which are modelled at infinity on the hyperbolic half-space and prove a sharp pos…
A compactness theorem for scalar-flat metrics on 3-manifolds with boundary
Sergio Almaraz, Olivaine S. de Queiroz, Shaodong Wang
Let (M,g) be a compact Riemannian three-dimensional manifold with boundary. We prove the compactness of the set of scalar-flat metrics which are in the conformal class of g and hav…
Rigidity on an eigenvalue problem with mixed boundary condition
Sergio Almaraz, Ezequiel Barbosa
We prove an Obata-type rigidity result for the spherical cap and apply it for an eigenvalue problem with mixed boundary condition.
Convergence of the Yamabe flow on manifolds with minimal boundary
Sergio Almaraz, Liming Sun
We study the Yamabe flow on compact Riemannian manifolds of dimensions greater than two with minimal boundary. Convergence to a metric with constant scalar curvature and minimal bo…
The asymptotic behavior of Palais-Smale sequences on manifolds with boundary
Sergio Almaraz
We describe the asymptotic behavior of Palais-Smale sequences associated to certain Yamabe-type equations on manifolds with boundary. We prove that each of those sequences converge…
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…
Convergence of scalar-flat metrics on manifolds with boundary under a Yamabe-type flow
Sergio Almaraz
We study a conformal flow for compact Riemannian manifolds of dimension greater than two with boundary. Convergence to a scalar-flat metric with constant mean curvature on the boun…
Blow-up phenomena for scalar-flat metrics on manifolds with boundary
Sergio Almaraz
Let (M,g) be a compact n-dimensional Riemannian manifold with boundary. This article is concerned with the set of scalar-flat metrics on M which are in the conformal class of g and…
An existence theorem of conformal scalar-flat metrics on manifolds with boundary
Sergio Almaraz
Let (M,g) be a compact Riemannian manifold with boundary. This paper addresses the Yamabe-type problem of finding a conformal scalar-flat metric on M, which has the boundary as a c…
A compactness theorem for scalar-flat metrics on manifolds with boundary
Sergio Almaraz
Let (M,g) be a compact Riemannian manifold with boundary. This paper is concerned with the set of scalar-flat metrics which are in the conformal class of g and have the boundary as…