Rayssa Caju

collaborators

4 papers

math.DG2026

Equivariant Allen--Cahn Solutions and the Existence of Cohomogeneity $2$ Minimal Surfaces

Rayssa Caju, Pedro Gaspar, Jared Marx-Kuo

We develop a regularity theory for equivariant Allen--Cahn solutions on closed Riemannian manifolds with a Lie group acting isometrically. When the cohomogeneity of the action is b…

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

Quantitative Stability for Yamabe minimizers on manifolds with boundary

BenjamÃn Borquez, Rayssa Caju, Hanne Van Den Bosch

This paper addresses the quantitative stability for a Yamabe-type functional on compact manifolds with boundary introduced by Escobar. Minimizers of the functional correspond to sc…

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…

Equivariant Allen--Cahn Solutions and the Existence of Cohomogeneity 2 Minimal Surfaces

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

Quantitative Stability for Yamabe minimizers on manifolds with boundary

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

Equivariant Allen--Cahn Solutions and the Existence of Cohomogeneity $2$ Minimal Surfaces

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