关于共形紧致流形的一个注记

A Remark on Conformally Compact Manifolds

对由一个分裂定理确定的共形紧致流形的结构,给出了一个注记,并且证明:若(M,g)是一个n维共形紧致流形且Ric_M≥-(n-1)和λ_0(M)=n-2,则在H^1(L^2(M))中不存在任何一个k≥2正交调和形式组。

Give a remark on conformally compact manifolds with the structure be given by an splitting type theorem and show that there are no k≥2 orthogonal harmonic forms in H^1(L^2(M)) under the assumption of (M,g) is an n-dimensional conformally compact manifold with Ric M≥-(n-1) and λ0(M)=n-2 .