Shapes of embedded minimal surfaces

被引：30

作者：

Colding, Tobias H.

Minicozzi, William P., II

机构：

[1] MIT, Dept Math, Cambridge, MA 02139 USA

[2] NYU, Courant Inst Math Sci, New York, NY 10012 USA

[3] Johns Hopkins Univ, Dept Math, Baltimore, MD 21218 USA

来源：

PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA | 2006年 / 103卷 / 30期

关键词：

D O I：

10.1073/pnas.0510379103

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 [理学]; 0710 [生物学]; 09 [农学];

摘要：

Surfaces that locally minimize area have been extensively used to model physical phenomena, including soap films, black holes, compound polymers, protein folding, etc. The mathematical field dates to the 1740s but has recently become an area of intense mathematical and scientific study, specifically in the areas of molecular engineering, materials science, and nanotechnology because of their many anticipated applications. In this work, we show that all minimal surfaces are built out of pieces of the surfaces in Figs. 1 and 2.

引用

页码：11106 / 11111

页数：6

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