paper

Minimal surfaces and Colding-Minicozzi entropy in complex hyperbolic space

arXiv:2307.08128

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.

36 pages

Minimal surfaces and Colding-Minicozzi entropy in complex hyperbolic space · wovepaper