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arXiv · 1604.06146

Recovering $U(n)$-invariant toric K\"ahler metrics on $\mathbb{C}\mathbb{P}^n$ from the torus equivariant spectrum

Tomás A. Reis·Rosa Sena-Dias
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Abstract

In this note we prove that toric K\"ahler metrics on complex projective space which are also $U(n)$-invariant are determined by their equivariant spectrum i.e. the list of eigenvalues of the Laplacian together with weights of the torus representation on the eigenspaces.

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Tomás A. Reis, Rosa Sena-Dias. 2016-04-20. Recovering $U(n)$-invariant toric K\"ahler metrics on $\mathbb{C}\mathbb{P}^n$ from the torus equivariant spectrum. https://doi.org/10.1112/blms.12042

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