Almir Silva Santos

activity

20242026

collaborators

4 papers

math.DG2026

Multiple Blow-Up Phenomena for $Q$ -Curvature in High Dimensions

Rayssa Caju, Almir Silva Santos

Let $(M, g_{0})$ be a closed Riemannian manifold of dimension $n \geq 25$ with positive Yamabe invariant $Y (M, g_{0}) > 0$ and positive fourth-order invariant $Y_{4} (M, g_{0}) > 0$ . We show that,…

math.DG2025

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…

math.DG2025

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…

math.DG2024

Existence and obstructions for the curvature on compact manifolds with boundary

Tiarlos Cruz, Almir Silva Santos, Feliciano VitÃ³rio

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…

Multiple Blow-Up Phenomena for Q-Curvature in High Dimensions

An end to end gluing construction for metrics of constant Q-curvature

Curvature Deformations on Complete Manifolds with Boundary

Existence and obstructions for the curvature on compact manifolds with boundary

Multiple Blow-Up Phenomena for $Q$ -Curvature in High Dimensions