NEGATIVE EIGENVALUES OF THE CONFORMAL LAPLACIAN

被引：0

作者：

Henry, Guillermo ^{[1
,2
,3
]}

Petean, Jimmy ^{[4
]}

机构：

[1] Univ Buenos Aires, Dept Matemat, FCEyN, Buenos Aires, Argentina

[2] CONICET UBA, IMAS, Ciudad Univ Pab 1,C1428EHA, Buenos Aires, Argentina

[3] Consejo Nacl Invest Cient & Tecn, Buenos Aires, Argentina

[4] CIMAT, AP 402, Guanajuato 36000, Gto, Mexico

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2024年 / 152卷 / 07期

关键词：

SIMPLY CONNECTED MANIFOLDS; SCALAR CURVATURE; YAMABE;

D O I：

10.1090/proc/16798

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let M be a closed differentiable manifold of dimension at least 3. Let Lambda 0(M) 0 ( M ) be the minimum number of non -positive eigenvalues that the conformal Laplacian of a metric on M can have. We prove that for any k greater than or equal to Lambda 0(M), 0 ( M ), there exists a Riemannian metric on M such that its conformal Laplacian has exactly k negative eigenvalues. Also, we discuss upper bounds for Lambda 0(M). 0 ( M ).

引用

页码：3085 / 3096

页数：12

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