B. Colbois

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20242026

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math.DG2026

Lower bounds for the low Steklov eigenvalues

Tirumala Chakradhar, Bruno Colbois, Asma Hassannezhad

For a compact, connected, orientable Riemannian manifold with $b$ boundary components, we obtain geometric lower bounds for the low Steklov eigenvalues, namely $I ¨ _{k}$ , $1\le k\le b…

math.DG2025

Magnetic ground states and the conformal class of a surface

Bruno Colbois, Luigi Provenzano, Alessandro Savo

On a closed, orientable Riemannian surface $I^£_{g}$ of arbitrary genus $g \geq 1$ and Riemannian metric $h$ we study the magnetic Laplacian with magnetic potential given by a harmonic…