关于Riemann流形的本性谱  

On Essential Spectrum of Complete Riemann Manifold

作　　者：全宏跃[1] 陈志华[1] 

机构地区：[1]同济大学应用数学系,上海200092

出　　处：《同济大学学报（自然科学版）》2002年第8期1019-1022,共4页Journal of Tongji University:Natural Science

摘　　要：证明了一类测地球体积呈多项式增长的完备非紧Riemann流形关于Laplace算子的本性谱是 [0 ,+∞ ) ,同时也讨论了测地球体积以其半径的负幂次收敛于有限体积的完备Riemann流形上的本性谱 .In the paper the essential spectrum of the Laplacian on some kind of the complete Riemannian manifolds such that the grouth of volume of the geodesic ball is according as the polynomiat of its radius,is computed,and the similar problem of some kind of complete Riemannian manifold with finite volume is also discussed.

关 键 词：完备RIEMANN流形 LAPLACE算子 本性谱 测地球体积 紧致流形 截面曲率 

分 类 号：O186.12[理学—数学] O177.7[理学—基础数学]