NEW SPECTRAL CHARACTERIZATIONS OF EXTREMAL HYPERSURFACES

作者：Yang, Dengyun^*; Xu, Hongwei; Fu, Haiping

来源：Acta Mathematica Scientia, 2013, 33(5): 1269-1274.

• spectrum
• Laplace operator
• extremal hypersurface

Let M be a closed extremal hypersurface in Sn+1 with the same mean curvature of the Willmore torus W-m,W-n-m. We proved that if Spec(p)(M) = Spec(p)(W-m,W-n-m) for p = 0,1,2, then M is W-m,W-m.

• 出版日期2013-9
• 单位江西师范大学; 南昌大学; 浙江大学