Conformal Classes Realizing the Yamabe Invariant

被引：5

作者：

Macbeth, Heather R. ^{[1
]}

机构：

[1] MIT, Dept Math, Cambridge, MA 02139 USA

来源：

INTERNATIONAL MATHEMATICS RESEARCH NOTICES | 2019年 / 2019卷 / 05期

关键词：

D O I：

10.1093/imrn/rnx123

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We give a characterization of conformal classes realizing a compact manifold's Yamabe invariant. This characterization is the analogue of an observation of Nadirashvili for metrics realizing the maximal first eigenvalue, and of Fraser and Schoen for metrics realizing the maximal first Steklov eigenvalue.

引用

页码：1333 / 1349

页数：17

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