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math.DG2019
The Riemannian Quantitative Isoperimetric Inequality
Otis Chodosh, Max Engelstein, Luca Spolaor
We study the Riemannian quantiative isoperimetric inequality. We show that direct analogue of the Euclidean quantitative isoperimetric inequality is--in general--false on a closed…
math.DG2019★ 4 cited
Minimal hypersurfaces with arbitrarily large area
Otis Chodosh, Christos Mantoulidis
For 3 n 7, we prove that a bumpy closed Riemannian n-manifold contains a sequence of connected embedded closed minimal surfaces with unbounded area.
math.DG2019★ 24 cited
Uniqueness of asymptotically conical tangent flows
Otis Chodosh, Felix Schulze
Singularities of the mean curvature flow of an embedded surface in R^3 are expected to be modelled on self-shrinkers that are compact, cylindrical, or asymptotically conical. In or…