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math.DG2024
A Liouville type theorem for ancient Lagrangian mean curvature flows
Arunima Bhattacharya, Micah Warren, Daniel Weser
We prove a Liouville type result for convex solutions of the Lagrangian mean curvature flow with restricted quadratic growth assumptions at antiquity on the solutions.
math.DG2024
The CR-Volume of Horizontal Submanifolds of Spheres
Jacob Bernstein, Arunima Bhattacharya
We study an analog in CR-geometry of the conformal volume of Li-Yau. In particular, to submanifolds of odd-dimensional spheres that are Legendrian or, more generally, horizontal wi…
math.DG2023
Minimal surfaces and Colding-Minicozzi entropy in complex hyperbolic space
Jacob Bernstein, Arunima Bhattacharya
We study notions of asymptotic regularity for a class of minimal submanifolds of complex hyperbolic space that includes minimal Lagrangian submanifolds. As an application, we show…