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math.DG2021★ 1 cited
Classification of convex ancient free boundary curve shortening flows in the disc
Theodora Bourni, Mat Langford
We classify convex ancient curve shortening flows in the disc with free boundary on the circle.
math.DG2021
Collapsing and noncollapsing in convex ancient mean curvature flow
Theodora Bourni, Mat Langford, Stephen Lynch
We provide several characterisations of collapsing and noncollapsing in convex ancient mean curvature flow, establishing in particular that collapsing occurs if and only if the flo…
math.DG2021
CMC hypersurfaces with bounded Morse index
Theodora Bourni, Ben Sharp, Giuseppe Tinaglia
We develop a bubble-compactness theory for embedded CMC hypersurfaces with bounded index and area inside closed Riemannian manifolds in low dimensions. In particular we show that c…