%0 Journal Article
%T Myers' type theorems and some related oscillation results
%A Paolo Mastrolia
%A Michele Rimoldi
%A Giona Veronelli
%J Mathematics
%D 2010
%I arXiv
%R 10.1007/s12220-011-9213-0
%X 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.
%U http://arxiv.org/abs/1002.2076v1