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math.DG2025
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,…
math.DG2025
Quantitative Stability for Yamabe minimizers on manifolds with boundary
Benjamín 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…