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Index of the critical catenoid

被引：13
|
作者：
Devyver, Baptiste [1 ]
机构：
[1] Technion, Dept Math, IL-32000 Haifa, Israel
来源：
GEOMETRIAE DEDICATA | 2019年 / 199卷 / 01期
基金：
加拿大自然科学与工程研究理事会;
关键词：
Free boundary; Minimal surface; Index; Critical catenoid;
D O I：
10.1007/s10711-018-0353-2
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We show that the critical catenoid, as a free boundary minimal surface of the unit ball in R3, has index 4. We also prove that a free boundary minimal surface of the unit ball in R3, that is not a flat disk, has index at least 4.
引用
收藏
页码：355 / 371
页数：17
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