3 papers
math.AP2026
Kazdan-Warner obstructions for a 4order boundary problem
Sergio Cruz-Blázquez, Azahara DelaTorre
We derive Kazdan-Warner type identities for the boundary problem of prescribing nonconstant interior curvature and boundary curvature on the upper hemisphere $\mathbb{S}^4_…
math.AP2024
Conformal metrics on the four-dimensional half sphere with symmetric and curvatures
Sergio Cruz-Blázquez, Azahara DelaTorre
In this paper, we address the problem of prescribing non-constant and boundary curvatures on the upper hemisphere , via a conformal chan…
math.AP2022
Clustering phenomena in low dimensions for a boundary Yamabe problem
Sergio Cruz-Blázquez, Angela Pistoia, Giusi Vaira
We consider the classical geometric problem of prescribing the scalar and boundary mean curvatures via conformal deformation of the metric on a dimensional compact Riemannian m…