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arXiv · 2603.22464

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

Sergio Cruz-Blázquez·Azahara DelaTorre
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Abstract

We derive Kazdan-Warner type identities for the boundary problem of prescribing nonconstant interior $Q$ curvature and boundary $T$ curvature on the upper hemisphere $\mathbb{S}^4_+$ by a conformal change of the standard metric. Using the natural variational formulation and conformal variations generated by boundary-preserving conformal vector fields, we obtain nontrivial integral obstructions to solvability.

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Sergio Cruz-Blázquez, Azahara DelaTorre. 2026-03-23. Kazdan-Warner obstructions for a 4$th-$order boundary problem. https://arxiv.org/abs/2603.22464

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