Abstract
In this paper we study the behavior of solutions of a second-order differential equation. The existence of a zero and its localization allow us to get some compactness results. In particular we obtain a Myers-type theorem even in the presence of an amount of negative curvature. The technique we use also applies to the study of spectral properties of Schrödinger operators on complete manifolds.
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Communicated by Marco M. Peloso.
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Mastrolia, P., Rimoldi, M. & Veronelli, G. Myers-Type Theorems and Some Related Oscillation Results. J Geom Anal 22, 763–779 (2012). https://doi.org/10.1007/s12220-011-9213-0
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DOI: https://doi.org/10.1007/s12220-011-9213-0