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

页码：1073 / 1130

页数：58

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