Carlos Cabezas-Moreno

collaborators

3 papers

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…

math.AP2025

The $L_{p}$ dual Christoffel-Minkowski problem for $1 < p < q \leq k + 1$ with $1 \leq k \leq n$

Carlos Cabezas-Moreno, Jinrong Hu

In this paper, we investigate an $L_{p}$ Christoffel-Minkowski-type problem that prescribes a class of $L_{p}$ geometric measures, which are mixtures of the $k$ -th area measure and t…

On a question by Firey concerning uniqueness

On the conjectured capillary Blaschke-Santaló inequality

The Lp​ dual Christoffel-Minkowski problem for 1<p<q≤k+1 with 1≤k≤n

The $L_{p}$ dual Christoffel-Minkowski problem for $1 < p < q \leq k + 1$ with $1 \leq k \leq n$