Sergio Cruz‐Blázquez

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20222026

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math.AP2026

Kazdan-Warner obstructions for a 4 $t h -$ order boundary problem

Sergio Cruz-Blázquez, Azahara DelaTorre

We derive Kazdan-Warner type identities for the boundary problem of prescribing nonconstant interior $Q$ curvature and boundary $T$ curvature on the upper hemisphere $\mathbb{S}^4_…

math.AP2024

Conformal metrics on the four-dimensional half sphere with symmetric $Q$ and $T$ curvatures

Sergio Cruz-Blázquez, Azahara DelaTorre

In this paper, we address the problem of prescribing non-constant $Q$ and boundary $T$ curvatures on the upper hemisphere $S_{+}^{4} \subset R^{5}$ , via a conformal chan…

math.AP2023

Prescribing nearly constant curvatures on balls

Luca Battaglia, Sergio Cruz-Blázquez, Angela Pistoia

In this paper we address two boundary cases of the classical Kazdan-Warner problem. More precisely, we consider the problem of prescribing the Gaussian and boundary geodesic curvat…

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 $n -$ dimensional compact Riemannian m…

Kazdan-Warner obstructions for a 4th−order boundary problem

Conformal metrics on the four-dimensional half sphere with symmetric Q and T curvatures

Prescribing nearly constant curvatures on balls

Clustering phenomena in low dimensions for a boundary Yamabe problem

Kazdan-Warner obstructions for a 4 $t h -$ order boundary problem

Conformal metrics on the four-dimensional half sphere with symmetric $Q$ and $T$ curvatures