Bruno Premoselli

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20242026

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math.DG2025

Extremising eigenvalues of the GJMS operators in a fixed conformal class

Emmanuel Humbert, Romain Petrides, Bruno Premoselli

Let $(M, g)$ be a closed Riemannian manifold of dimension $n \geq 3$ . If $s$ is a positive integer satisfying $2 s < n$ , we let $P_{g}^{s}$ be the GJMS operator of order $2 s$ in $M$ . We inv…

math.DG2024

Nonexistence of minimizers for the second conformal eigenvalue near the round sphere in low dimensions

We consider the problem of minimizing the second conformal eigenvalue of the conformal Laplacian in a conformal class of metrics with renormalized volume. We prove, in dimensions $…