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RIGIDITY THEOREMS OF CLIFFORD TORUS
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作者 张运涛 《Acta Mathematica Scientia》 SCIE CSCD 2010年第3期890-896,共7页
In this article, we prove that the Clifford torus S^1(√1-r^2)×^n-1(r) is the only closed hypersurface in the unit sphere S^n+1(1) with infinite fundamental group, which satisfy r^2≥(n-1)/n,RicM≤C_(H... In this article, we prove that the Clifford torus S^1(√1-r^2)×^n-1(r) is the only closed hypersurface in the unit sphere S^n+1(1) with infinite fundamental group, which satisfy r^2≥(n-1)/n,RicM≤C_(H),and S≤S+(H).Moreover, we give a characterization of Clifford torus S^1(√1-r^2)×^n-1(r) with r^2=2n(1+H^2)^-2(n-1)+nH^2+|H|√n^2H^2+4(n-1). 展开更多
关键词 principle curvatual Ricci curvature Clifford torus
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