$RIGID rigidity

Latest papers

1. Quadratic growth rigidity for the complex Monge--Amp\`ere equation math.CV · 19 Oct · 1 hit

   For the complex Monge--Amp\`ere equation on $\mathbb{C}^{n}$, we prove the Liouville theorem for solutions with quadratic growth.

2. K\"ahler-Finsler rigidity of the Kobayashi metric and the K\"ahler base of weakly K\"ahler-Finsler metrics math.CV · 19 Oct · 2 hits

   In this paper, we establish a rigidity theorem: for every balanced, smooth, bounded pseudoconvex domain, its Kobayashi metric is a smooth,…

3. The Eighth-Order Evolution Model for Closed Planar Curves math.AP · 19 Oct · 1 hit

   …convergence to a fixed multiply covered circle, after reparametrisation. We note that that the qualitative rigidity and convergence results are already contained in the generalised ideal flow theory of McCoy and…

4. Geometric and measure-theoretic characterizations of the measure-determining property of balls in metric spaces math.FA · 19 Oct · 1 hit

   …Building on this to understand spaces that have the topological capacity but lack linear or geometric rigidity required to force ball-annihilating measures to zero, we relate the metric outer measure to the…

5. From Clinical Risk Prediction to Operational Decisions: An Uncertainty-Aware Framework for ICU Staffing cs.AI · 18 Oct · 1 hit

   …clinical risk estimates into downstream operational decisions under real-world constraints, such as shift rigidity and hiring delays. This study proposes an uncertainty-aware anticipatory staffing framework that…

6. $G$-birational rigidity of the $G$-Fano variety $\mathbb{P}^1 \times \mathbb{P}^1 \times \mathbb{P}^1$ math.AG · 18 Oct · 2 hits

   We determine the $G$-birational rigidity of the $G$-Fano variety $\mathbb{P}^1 \times \mathbb{P}^1 \times \mathbb{P}^1$ for all finite…

7. Oriented Zoll families of minimal hypersurfaces in $\mathbb{CP}^n$ and $\mathbb{HP}^n$ math.DG · 18 Oct · 1 hit

   …that the only Zoll metric in $\mathbb{CP}^n$ is $\overline{g}$. We present evidence that suggests a similar rigidity of $(\mathbb{CP}^n,\overline{g},\overline{\mathcal{F}})$ in this context of minimal hypersurfaces.…

8. Local rigidity of conformally Euclidean metrics for the anisotropic Helmholtz equation at fixed energy math.AP · 18 Oct · 2 hits

   We prove local rigidity of smooth conformally Euclidean metrics $g_0$ on smooth compact domains $M\subset\mathbb{R}^n$,…