On a positivity preservation property for Schr\"odinger operators on Riemannian manifolds
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math.SP
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propertymanifoldsodingeroperatorspositivitypreservationriemannianschr
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We study a positivity preservation property for Schr\"odinger operators with singular potential on geodesically complete Riemannian manifolds with non-negative Ricci curvature. We apply this property to the question of self-adjointness of the maximal realization of the corresponding operator.
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