Jade Brisson

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20232025

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math.SP2025

Upper bounds for the Steklov eigenvalues of warped products

Jade Brisson, Bruno Colbois, Alexandre Girouard +1

We obtain upper bounds for the Steklov eigenvalues of warped products $Ω \times_{h} Σ$ , where $Ω$ is a compact Riemannian manifold with boundary and $Σ$ is a closed Riemannian manifold…

math.SP2024

Upper bound for Steklov eigenvalues of warped products with fiber of dimension 2

Jade Brisson, Bruno Colbois

In this note, we investigate the Steklov spectrum of the warped product $[0, L] \times_{h} Σ$ equipped with the metric $d t^{2} + h (t)^{2} g_{Σ}$ , where $Σ$ is a compact surface. We find sharp u…

math.SP2024

Spectral ratios and gaps for Steklov eigenvalues of balls with revolution-type metrics

Jade Brisson, Bruno Colbois, Katie Gittins

We investigate upper bounds for the spectral ratios and gaps for the Steklov eigenvalues of balls with revolution-type metrics. We do not impose conditions on the Ricci curvature o…