Acta mathematica scientia,Series A

• Articles • Previous Articles     Next Articles

The Rigidity of Clifford Torus {\boldmath Sm(\sqrt{\frac{m}{n}})\timesSn-m(\sqrt{\frac{n-m}{n}})

Zhang Yuntao ;Xu Senlin

  

  1. Department of Mathematics, Xuzhou Normal University, Xuzhou 220009
  • Received:2005-12-19 Revised:2006-11-30 Online:2008-02-25 Published:2008-02-25
  • Contact: Zhang Yuntao

Abstract: Let M be an n-dimensional closed minimal hypersurface of the unit sphere Sn+1(1). If nSn+23,then S=n and M is isometric to Sm(m/n)×Snm((nm)/n).

Key words: Minimal hypersurface, Scalar curvature, Clifford torus

CLC Number: 

  • 53C40
Trendmd