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An inverse spectral problem on surfaces

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Publication:2493382
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DOI10.4171/CMH/52zbMath1114.58025MaRDI QIDQ2493382

Philippe Castillon

Publication date: 12 June 2006

Published in: Commentarii Mathematici Helvetici (Search for Journal in Brave)


zbMATH Keywords

spectral theoryminimal surfacesstability operator


Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10)


Related Items (12)

The dynamics theorem for properly embedded minimal surfaces ⋮ Optimal length estimates for stable CMC surfaces in $3$-space forms ⋮ Finite index operators on surfaces ⋮ Geometric inequalities for manifolds with Ricci curvature in the Kato class ⋮ Rigidity of stable cylinders in three-manifolds ⋮ A Colding-Minicozzi stability inequality and its applications ⋮ Inverse spectral positivity for surfaces ⋮ Gradient Schrödinger operators, manifolds with density and applications ⋮ Euclidean volume growth for complete Riemannian manifolds ⋮ On the shape of bodies in general relativistic regimes ⋮ On some aspects of oscillation theory and geometry ⋮ Area and spectrum estimates for stable minimal surfaces






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