热核Laplacian的谱隙以及紧致分解

摘要

推广了热核Laplacian的谱隙的一个结果,并且证明了双曲空间上热核Laplacian的紧致分解性.%A result about spectral gap of the heat kernel weighted Laplacian was gener-alized; this paper also proved that the heat kernel weighted Laplacian on hyperbolic space has compact resolvent.