ON THE ESSENTIAL SPECTRUM OF A COMPLETE RIEMANNIAN MANIFOLD WITH A POLE
Citation：
Lu Zhiqin,Chen Zhihua.ON THE ESSENTIAL SPECTRUM OF A COMPLETE RIEMANNIAN MANIFOLD WITH A POLE[J].Chinese Annals of Mathematics B,1993,14(1):59~68
Page view： 710Net amount： 738
Authors：
Lu Zhiqin; Chen Zhihua
Abstract：
It is shown that the essential spectrum of a complete Riemannian manifold with a pole and infinite volume can be computed via the growth rate of the volume of the geodesic ball under some technical condition. The growth-rate assumption is somewhat weaker than the curvature assumption used by many authors.
