English

Minimal surfaces and Colding-Minicozzi entropy in complex hyperbolic space

Differential Geometry 2023-07-18 v1

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.

Keywords

Cite

@article{arxiv.2307.08128,
  title  = {Minimal surfaces and Colding-Minicozzi entropy in complex hyperbolic space},
  author = {Jacob Bernstein and Arunima Bhattacharya},
  journal= {arXiv preprint arXiv:2307.08128},
  year   = {2023}
}

Comments

36 pages

R2 v1 2026-06-28T11:31:55.470Z