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arXiv · 1002.2076

Myers' type theorems and some related oscillation results

Paolo Mastrolia·Michele Rimoldi·Giona Veronelli
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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 Schroedinger operators on complete manifolds.

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Paolo Mastrolia, Michele Rimoldi, Giona Veronelli. 2010-02-10. Myers' type theorems and some related oscillation results. https://doi.org/10.1007/s12220-011-9213-0

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