Minimal surfaces and Colding-Minicozzi entropy in complex hyperbolic space

Published 16 Jul 2023 in math.DG | (2307.08128v1)

Abstract: 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 a relationship between an appropriate formulation of Colding-Minicozzi entropy and a quantity we call the CR-volume that is computed from the asymptotic geometry of such submanifolds.

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