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Eigenvalue Estimates for Schr\"odinger Operators on Ricci Shrinkers

math.DG · 2026-05-22 · unverdicted · novelty 4.0

Lower bounds are derived for the ground-state eigenvalues of -Δ + R/4 + V and the drifted operator -Δ_f + V on Ricci shrinkers, in terms of integrals involving V and the shrinker entropy, with generalizations via Perelman's μ-functional.

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  • Eigenvalue Estimates for Schr\"odinger Operators on Ricci Shrinkers math.DG · 2026-05-22 · unverdicted · none · ref 13

    Lower bounds are derived for the ground-state eigenvalues of -Δ + R/4 + V and the drifted operator -Δ_f + V on Ricci shrinkers, in terms of integrals involving V and the shrinker entropy, with generalizations via Perelman's μ-functional.