4 papers
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.
Hessian estimates for shrinkers, expanders, translators, and rotators of the Lagrangian Mean Curvature Flow
Arunima Bhattacharya, Jeremy Wall
In this paper, we prove interior Hessian estimates for shrinkers, expanders, translators, and rotators of the Lagrangian mean curvature flow under the assumption that the Lagrangia…
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…
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…