Carlos Cabezas-Moreno

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math.DG2026

On a question by Firey concerning uniqueness

Carlos Cabezas-Moreno

We prove that the curvature equation $\sum_{j = 1}^{n} α_{j} E_{j} (τ_{M}) = \sum_{j = 1}^{n} α_{j} E_{j} (τ_{N})$ yields uniqueness up to translation for any two closed $C_{+}^{2}$ hy…

math.DG2025

On the conjectured capillary Blaschke-Santaló inequality

Carlos Cabezas-Moreno, Yingxiang Hu, Mohammad N. Ivaki

We prove that the conjectured capillary Blaschke--Santaló inequality holds for any unconditional, strictly convex capillary hypersurface when $θ \in (0, \frac{π}{2})$ . Mor…