Extremal metrics for eigenvalues of the Laplace-Beltrami operator on surfaces

被引：7
|
作者：
Penskoi, A. V. [1 ,2 ]
机构：
[1] Moscow MV Lomonosov State Univ, Moscow, Russia
[2] Independent Univ Moscow, Moscow, Russia
来源：
RUSSIAN MATHEMATICAL SURVEYS | 2013年 / 68卷 / 06期
关键词：
geometric optimisation of eigenvalues; extremal metrics; minimal; surfaces in spheres; ISOPERIMETRIC INEQUALITY; SPECTRAL PROPERTIES; 1ST EIGENVALUE; MINIMAL IMMERSIONS; UPPER-BOUNDS; TORI; MULTIPLICITY; MANIFOLDS;
D O I：
10.1070/RM2013v068n06ABEH004870
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Known results on geometric optimisation of eigenvalues of the Laplace operator are briefly reviewed, and a more detailed survey of recent results in the theory of extremal metrics on surfaces is presented.
引用
收藏
页码：1073 / 1130
页数：58
相关论文
共 50 条
12345