Alessandra Pluda

works on

curve networks 1 geometric flows 1 gradient flow 1 higher-order PDE 1 long-time existence 1

From the 1 of 6 linked papers with an AI index.

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math.DG2026

Scalar curvature bounds for 3D continuous metrics through the Inverse Mean Curvature Flow

Mattia Fogagnolo, Giorgio Gatti, Alessandra Pluda

We propose a notion of scalar curvature lower bounds in a three-dimensional Riemannian manifold endowed with a $C^{0}$ metric based on the monotonicity of the Hawking mass along the…

math.DG2026

Nonlinear potential theory and Ricci-pinched 3-manifolds

Luca Benatti, Ariadna LeÃ³n QuirÃ³s, Francesca Oronzio +1

In this paper, we focus on Hamilton's pinching conjecture formulated in Hamilton's paper "Three-manifolds with positive Ricci curvature". Let $(M, g)$ be a complete, connected, non…

math.DG2026

Fine properties of nonlinear potentials and a unified perspective on monotonicity formulas

Luca Benatti, Alessandra Pluda, Marco Pozzetta

We rigorously show that a large family of monotone quantities along the weak inverse mean curvature flow is the limit case of the corresponding ones along the level sets of $p$ -cap…

math.DG2026

A Note on Ricci-pinched three-manifolds

Luca Benatti, Carlo Mantegazza, Francesca Oronzio +1

Let $(M, g)$ be a complete, connected, non-compact Riemannian $3$ -manifold. Suppose that $(M, g)$ satisfies the Ricci--pinching condition $Ric \geq ε R g$ f…

math.DG2024

Evolution of networks with multiple junctions

Carlo Mantegazza, Matteo Novaga, Alessandra Pluda +1

We consider the motion by curvature of a network of curves in the plane and we discuss existence, uniqueness, singularity formation and asymptotic behavior of the flow.