5 papers
High Codimension Curve Shortening Flow with Free Boundary
Huy The Nguyen, Artemis A. Vogiatzi
We study curve shortening flow in high codimension for arcs with free boundary meeting a fixed smooth barrier orthogonally. We prove dilation-invariant curvature and higher-derivat…
Neutrinos from Stored Muons (nuSTORM)
L. Alvarez Ruso, W. Chang, J. Franklin +10
The Neutrinos from Stored Muons, nuSTORM, facility has been designed to deliver a definitive neutrino-nucleus scattering programme using beams of ,νe- and ,νμ- from the decay of mu…
Sharp Quartic Pinching for the Mean Curvature Flow in the Sphere
Artemis A. Vogiatzi
We prove a sharp quartic curvature pinching for the mean curvature flow in , , which generalises Pu's work on the convergence of submanifolds in $\mathbb{S…
High Codimension Mean Curvature Flow in the Complex Projective Space
Artemis A. Vogiatzi
We study the mean curvature flow of smooth, compact submanifolds of high codimension with quadratic pinching in . We establish a codimension estimate, where in regio…
Singularity Models for High Codimension Mean Curvature Flow in Riemannian Manifolds
Artemis A. Vogiatzi, Huy T. Nguyen
We study the mean curvature flow of smooth -dimensional compact submanifolds with quadratic pinching in a Riemannian manifold . Our main focus is on the case…