Work

Harmonic-Einstein maps and critical metrics for eigenvalues of the conformal Laplacian

Year: 2026

Type: preprint

Abstract: We prove that Clarke critical metrics for the ratio of the first two eigenvalues of the conformal Laplacian on a closed manifold with positive Yamabe constant correspond to harmonic--Einstein maps into a sphere. We discuss some rigidity consequences, as well as an extension to the higher-order GJMS operators.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2610.28894

Author: Eddaoudi, Mehdi

Language: English

Topic: Geometric Analysis and Curvature Flows

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: Fonds Wetenschappelijk Onderzoek, Vlaamse regering

Award: Geometric and analytic properties of metric measure spaces with spectral curvature constraints, with applications to manifold learning

OpenAlex ID: W7223202020

Cites: 3

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Related to: 10