1 citations · 1 across the 5 of their papers we have counts for
Showing math.DGShow all
3 papers · 1 filter
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.DG2022★ 1 cited
Colding-Minicozzi Entropies in Cartan-Hadamard Manifolds
Jacob Bernstein, Arunima Bhattacharya
We introduce a family of functionals on submanifolds of Cartan-Hadamard manifolds that generalize the Colding-Minicozzi entropy of submanifolds of Euclidean space. We show that the…
math.DG2021
Regularity of Hamiltonian Stationary Equations in Symplectic manifolds
Arunima Bhattacharya, Jingyi Chen, Micah Warren
In this paper, we prove that any -regular Hamiltonian stationary Lagrangian submanifold in a symplectic manifold is smooth. More broadly, we develop a regularity theory for…