Recovering U(n)-invariant toric Kahler metrics on CPn from the torus equivariant spectrum

被引：0

作者：

Reis, Tomas A. ^{[1
]}

Sena-Dias, Rosa ^{[2
]}

机构：

[1] Inst Super Tecn, Dept Fis, Ave Rovisco Pais, P-1049001 Lisbon, Portugal

[2] Inst Super Tecn, Dept Matemat, Ctr Analise Matemat Geomet & Sistemas Dinamicos, Ave Rovisco Pais, P-1049001 Lisbon, Portugal

来源：

BULLETIN OF THE LONDON MATHEMATICAL SOCIETY | 2017年 / 49卷 / 04期

关键词：

MANIFOLDS;

D O I：

10.1112/blms.12042

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this note, we prove that toric Kahler metrics on complex projective space, which are also U(n)-invariant, are determined by their equivariant spectrum, that is, the list of eigenvalues of the Laplacian together with weights of the torus representation on the eigenspaces.

引用

页码：649 / 659

页数：11

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