Matteo Raffaelli

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20242026

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math.DG2025

$h$ -Principles for smooth curves and knots with prescribed curvature

Mohammad Ghomi, Matteo Raffaelli

We show that smooth curves with prescribed curvature satisfy a $C^{1}$ -dense $h$ -principle in the space of immersed curves in Euclidean space. More precisely, every $C^{α \geq 2}$ cur…

math.DG2025

A mechanical characterization of constant mean curvature surfaces

Matteo Raffaelli

The speed of a ball rolling without skidding or spinning on a surface $S$ is the length of the velocity of its center. We show that if the speed depends only on $p \in S$ , then $S$ …

h-Principles for smooth curves and knots with prescribed curvature

A mechanical characterization of constant mean curvature surfaces

$h$ -Principles for smooth curves and knots with prescribed curvature