4 citations · 7 across the 11 of their papers we have counts for
11 papers
Multiple Blow-Up Phenomena for -Curvature in High Dimensions
Rayssa Caju, Almir Silva Santos
Let be a closed Riemannian manifold of dimension with positive Yamabe invariant and positive fourth-order invariant . We show that,…
An end to end gluing construction for metrics of constant Q-curvature
A. Sophie Aiken, Rayssa Caju, Jesse Ratzkin +1
We produce many new complete, constant Q-curvature metrics on finitely punctured spheres by gluing together known examples. In our construction we truncate one end of each summand…
Curvature Deformations on Complete Manifolds with Boundary
Tiarlos Cruz, Almir Silva Santos
This paper investigates conformal deformations of the scalar curvature and mean curvature on complete Riemannian manifolds with boundary. We establish sufficient conditions for the…
Moduli space theory for complete, constant Q-curvature metrics on finitely punctured spheres
Rayssa Caju, Jesse Ratzkin, Almir Silva Santos
We study constant Q-curvature metrics conformal to the round metric on the sphere with finitely many point singularities. We show that the moduli space of solutions with finitely m…
Existence and obstructions for the curvature on compact manifolds with boundary
Tiarlos Cruz, Almir Silva Santos, Feliciano Vitório
We study the set of curvature functions which a given compact manifold with boundary can possess. First, we prove that the sign demanded by the Gauss-Bonnet Theorem is a necessary…
On the -curvature and volume of compact manifolds
Maria Andrade, Tiarlos Cruz, Almir Silva Santos
In this work we are interested in studying deformations of the -curvature and the volume. For closed manifolds, we relate critical points of the total -curvature function…
Constant Q-curvature metrics with Delaunay ends: the nondegenerate case
João Henrique Andrade, Rayssa Caju, João Marcos do Ó +2
We construct a one-parameter family of solutions to the positive singular Q-curvature problem on compact nondegenerate manifolds of dimension bigger than four with finitely many pu…
Qualitative properties of positive singular solutions to nonlinear elliptic systems with critical exponent
Rayssa Caju, João Marcos do Ó, Almir Silva Santos
We studied the asymptotic behavior of local solutions for strongly coupled critical elliptic systems near an isolated singularity. For the dimension less than or equal to five we p…
Deformation of the -curvature
Almir Silva Santos, Maria Andrade
Our main goal in this work is to deal with results concern to the -curvature. First we find a symmetric 2-tensor canonically associated to the -curvature and we present a…
Solutions to the singular Yamabe problem with isolated singularities
Almir Silva Santos
Given a closed Riemannian manifold and a nonempty closed subset in , the singular Yamabe problem asks for a complete metric on conformal…
A Construction of Constant Scalar Curvature Manifolds with Delaunay-type Ends
Almir Silva Santos
It has been showed by Byde that it is possible to attach a Delaunay-type end to a compact nondegenerate manifold of positive constant scalar curvature, provided it is locally confo…