18 citations · 26 across the 5 of their papers we have counts for
5 papers
Lagrangian Flows, Maslov Index Zero and Special Lagrangians
Andrew A. Cooper, Jon Wolfson
We introduce a notion of vanishing Maslov index for lagrangian varifolds and lagrangian integral cycles in a Calabi-Yau manifold. We construct mass-decreasing flows of lagrangian v…
Singularities of the Lagrangian Mean Curvature Flow
Andrew A. Cooper
In this paper we investigate the singularities of Lagrangian mean curvature flows in by means of smooth singularity models. Type I singularities can only occur at ce…
A Compactness Theorem for the Second Fundamental Form
Andrew A Cooper
In this note we establish several versions of a compactness theorem for submanifolds. In particular we require only bounds on the second fundamental form and do not assume volume o…
A Characterization of the Singular Time of the Mean Curvature Flow
Andrew A Cooper
In this note we investigate the behaviour at finite-time singularities of the mean curvature flow of compact Riemannian submanifolds M^m_t\hookrightarrow (N^{m+n}, h). We show that…
Mean curvature blow up in mean curvature flow
Andrew A. Cooper
In this note we establish that finite-time singularities of the mean curvature flow of compact Riemannian submanifolds are characterised by the blow up of the mean curvature.