空间形式中具有常平均曲率的超曲面的特征值估计（英文）

Eigenvalue Estimate for Hypersurfaces With Constant Mean Curvature in Space Forms

本文得到了空间形式中紧致超曲面第一非零特征值的估计.该成果是Alencar,Silva与周德堂等人关于空间形式中紧致超曲面结果和Deshmukh关于球面中紧致极小超曲面结果的推广.

We obtain some estimates for the first nonzero eigenvalues of compact hypersurfaces with constant mean curvature in space forms. These results are generalized versions of the result of Alencar, Silva and Zhou on compact hypersurfaces in space forms and Deshmukh＇s result on compact minimal hypersurfaces in spheres.