Minimal surfaces and Colding-Minicozzi entropy in complex hyperbolic space. (English) Zbl 1536.53023
The authors study notions of asymptotic regularity for a class of minimal submanifolds of complex hyperbolic space that includes minimal Lagrangian submanifolds. As an application, they show a relationship between an appropriate formulation of Colding-Minicozzi entropy and a quantity called the CR-volume that is computed from the asymptotic geometry of such submanifolds.
Reviewer: Nikolay Gusevskii (Belo Horizonte)
MSC:
| 53A10 | Minimal surfaces in differential geometry, surfaces with prescribed mean curvature |
| 53C40 | Global submanifolds |
| 53C42 | Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) |
| 53D12 | Lagrangian submanifolds; Maslov index |
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