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
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.