Showing math.DGShow all
2 papers · 1 filter
math.DG2025
High Codimension Mean Curvature Flow with Surgery
Stephen Lynch, Huy The Nguyen
We construct a mean curvature flow with surgery for submanifolds of arbitrary codimension. The theory applies to closed submanifolds satisfying a natural quadratic pinching conditi…
math.DG2024
Canonical foliation of bubblesheets
Jean Lagacé, Stephen Lynch
We introduce a new curvature condition for high-codimension submanifolds of a Riemannian ambient space, called quasi-parallel mean curvature (QPMC). The class of submanifolds with…