4 papers
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 , where is a compact Riemannian manifold with boundary and is a closed Riemannian manifold…
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 equipped with the metric , where is a compact surface. We find sharp u…
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…
Tubes and Steklov eigenvalues in negatively curved manifolds
Ara Basmajian, Jade Brisson, Asma Hassannezhad +1
We consider the Steklov eigenvalue problem on a compact pinched negatively curved manifold of dimension at least three with totally geodesic boundaries. We obtain a geometric l…