摘要
Let M be a compact minimal surface in S<sup>3</sup>.Y.J.Hsu proved that if ‖S‖<sub>2</sub>≤2(2<sup>1/2</sup>π, then M is either the equatorial sphere or the Clifford torus,where 5" is the square of the length of the second fundamental form of M,‖·‖<sub>2</sub> denotes the L<sup>2</sup>-norm on M.In this paper,we generalize Hsu’s result to any compact surfaces in S<sup>3</sup> with constant mean curvature.
Let M be a compact minimal surface in S<sup>3</sup>.Y.J.Hsu proved that if ‖S‖<sub>2</sub>≤2(2<sup>1/2</sup>π, then M is either the equatorial sphere or the Clifford torus,where 5" is the square of the length of the second fundamental form of M,‖·‖<sub>2</sub> denotes the L<sup>2</sup>-norm on M.In this paper,we generalize Hsu’s result to any compact surfaces in S<sup>3</sup> with constant mean curvature.
基金
Supported by NSFH.
