Myers-Type Theorems and Some Related Oscillation Results
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- Mastrolia, P., Rimoldi, M. & Veronelli, G. J Geom Anal (2012) 22: 763. doi:10.1007/s12220-011-9213-0
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.