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math.DG2024
Nonlinear potential theory and Ricci-pinched 3-manifolds
Luca Benatti, Ariadna León Quirós, 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 be a complete, connected, non…
math.DG2024
A Note on Ricci-pinched three-manifolds
Luca Benatti, Carlo Mantegazza, Francesca Oronzio +1
Let be a complete, connected, non-compact Riemannian -manifold. Suppose that satisfies the Ricci--pinching condition f…
math.DG2024
A sharp quantitative Alexandrov inequality and applications to volume preserving geometric flows in 3D
Vesa Julin, Massimiliano Morini, Francesca Oronzio +1
We study the asymptotic behavior of the volume preserving mean curvature and the Mullins-Sekerka flat flow in three dimensional space. Motivated by this we establish a 3D sharp qua…