Myers' type theorems and some related oscillation results

Details Myers' type theorems and some related oscillation results Myers' type theorems and some related oscillation results

2010-02-10

arxiv.org/abs/1002.2076v1

Mathematics

Differential Geometry

16 pages

Scientific paper

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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