Collapsing of the line bundle mean curvature flow on Kähler surfaces

Non-collapsing in Mean-convex Mean Curvature Flow

We provide a direct proof of a non-collapsing estimate for compact hypersurfaces with positive mean curvature moving under the mean curvature flow: Precisely, if every point on the initial hypersurface admits an interior sphere with radius inversely proportional to the mean curvature at that point, then this remains true for all positive times in the interval of existence. We follow [4] in defi...

Ricci Flow on Kähler-einstein Surfaces

0 Ricci flow on Kähler - Einstein surfaces

Flow by mean curvature of surfaces of any codimension

Mean Curvature Blowup in Mean Curvature Flow

In this note we establish that finite-time singularities of the mean curvature flow of compact Riemannian submanifolds M t →֒ (N, h) are characterised by the blow up of the mean curvature.