Myers-Type Theorems and Some Related Oscillation Results |
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| Authors: | Paolo Mastrolia Michele Rimoldi Giona Veronelli |
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| Institution: | 1. Dipartimento di Matematica, Universit?? degli Studi di Milano, via Saldini 50, 20133, Milano, Italy
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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 Schr?dinger operators on complete manifolds. |
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