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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.AP2022
Gradient estimates for the Lagrangian mean curvature equation with critical and supercritical phase
Arunima Bhattacharya, Connor Mooney, Ravi Shankar
In this paper, we prove interior gradient estimates for the Lagrangian mean curvature equation, if the Lagrangian phase is critical and supercritical and . Combined with the…