ENGLISH

On some aspects of oscillation theory and geometry

By Marco Rigoli , Bruno Bianchini , Luciano Mari

Book information

Publisher
Amer Mathematical Society
Year
2013
ISBN
0821887998, 978-0-8218-8799-8
Language
english
Format
PDF
Filesize
1 MB (1450262 bytes)
Series
Memoirs of the American Mathematical Society 1056
Pages
208\208
Library
kolxoz
Time added
2015-12-12 14:00:00

Description

The aim of this paper is to analyse some of the relationships between oscillation theory for linear ordinary differential equations on the real line (shortly, ODE) and the geometry of complete Riemannian manifolds. With this motivation the authors prove some new results in both directions, ranging from oscillation and nonoscillation conditions for ODE's that improve on classical criteria, to estimates in the spectral theory of some geometric differential operator on Riemannian manifolds with related topological and geometric applications. To keep their investigation basically self-contained, the authors also collect some, more or less known, material which often appears in the literature in various forms and for which they give, in some instances, new proofs according to their specific point of view

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