Soap films bounded by non-closed curves

被引：0
|
作者：
Jordan Drachman
Brian White
机构：
[1] Stanford University,Department of Mathematics
来源：
The Journal of Geometric Analysis | 1998年 / 8卷 / 2期
关键词：
49Q20; soap-film-like minimal surfaces; stationary varifolds; knots;
D O I：
10.1007/BF02921642
中图分类号：
学科分类号：
摘要：
This paper proves (i) every “geometrically knotted” non-closed curve bounds a soap-film, (ii) any non-closed curve bounding a soap-film must have total curvature greater than 2π, and (iii) for every k > 2π, there is a geometrically knotted non-closed curve with total curvature k.
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页码：239 / 250
页数：11
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