In this paper we study the behavior of solutions of a second-order differ- ential 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.
Myers-type theorems and some related oscillation results / P. Mastrolia, M. Rimoldi, G. Veronelli. - In: THE JOURNAL OF GEOMETRIC ANALYSIS. - ISSN 1050-6926. - 22:3(2012), pp. 763-779.
Myers-type theorems and some related oscillation results
P. MastroliaPrimo
;M. RimoldiSecondo
;G. VeronelliUltimo
2012
Abstract
In this paper we study the behavior of solutions of a second-order differ- ential 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.
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