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math.DG2026
Optimal Transport and Generalized Lagrangian Mean Curvature Flows on Kim-McCann Metrics
Arunima Bhattacharya, Micah Warren, Daniel Weser
We express the mean curvature flow of Lagrangian submanifolds in pseudo-Riemannian manifolds endowed with the Kim-McCann-Warren metric within the framework of generalized mean curv…
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.