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Minimality and Nonlinear Spectral Rigidity of Hypersurfaces in Real Space Forms
We study nonlinear mean-curvature spectral equations for hypersurfaces in Euclidean, spherical and hyperbolic space. For an admissible analytic response $F$ and ambient sectional curvature $c$, we prove minimality when the spectral parameter satisfies $σ\ge nc$, and strict mean-curvature bounds at g
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