SMALL EIGENVALUES OF CLOSED SURFACES

被引：0

作者：

Ballmann, Werner ^{[1
,2
]}

Matthiesen, Henrik ^{[2
]}

Mondal, Sugata ^{[2
]}

机构：

[1] Hausdorff Ctr Math, Endenicher Allee 60, D-53115 Bonn, Germany

[2] Max Planck Inst Math, Vivatsgasse 7, D-53111 Bonn, Germany

来源：

JOURNAL OF DIFFERENTIAL GEOMETRY | 2016年 / 103卷 / 01期

关键词：

RIEMANN SURFACES; SPECTRUM;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Generalizing recent work of Otal and Rosas, we show that the Laplacian of a Riemannian metric on a closed surface S with Euler characteristic chi(S) < 0 has at most -chi(S) small eigenvalues.

引用

页码：1 / 13

页数：13

共 16 条

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