Minimal surfaces and Colding-Minicozzi entropy in complex hyperbolic space

IF 0.5 4区数学 Q3 MATHEMATICS

Geometriae Dedicata Pub Date : 2024-04-03 DOI:10.1007/s10711-024-00906-2

Jacob Bernstein, Arunima Bhattacharya

引用次数: 0

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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复双曲空间中的极小曲面和科尔丁-米尼科齐熵

我们研究了复双曲空间的一类最小子线面的渐近正则性概念，其中包括最小拉格朗日子线面。作为一种应用，我们展示了科尔丁-米尼柯齐熵的适当表述与我们称之为 CR 体积的量之间的关系，CR 体积是通过此类子曼形体的渐近几何计算得出的。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Geometriae Dedicata 数学-数学

CiteScore

0.90

自引率

0.00%

发文量

审稿时长

4-8 weeks

期刊介绍： Geometriae Dedicata concentrates on geometry and its relationship to topology, group theory and the theory of dynamical systems. Geometriae Dedicata aims to be a vehicle for excellent publications in geometry and related areas. Features of the journal will include: A fast turn-around time for articles. Special issues centered on specific topics. All submitted papers should include some explanation of the context of the main results. Geometriae Dedicata was founded in 1972 on the initiative of Hans Freudenthal in Utrecht, the Netherlands, who viewed geometry as a method rather than as a field. The present Board of Editors tries to continue in this spirit. The steady growth of the journal since its foundation is witness to the validity of the founder''s vision and to the success of the Editors'' mission.