On Compact Submanifolcls in a Sphere
Received:November 19, 1990  
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Fund Project:Work done under partial support by NNSFC and NECYSFC.
Author NameAffiliation
Chen Qing Dept. of Math.
China Univ. of Sci. and Tech.
Hefei 
Xu Senlin Dept. of Math.
China Univ. of Sci. and Tech.
Hefei 
Chen Guanghua Dept. of Math.
China Univ. of Sci. and Tech.
Hefei 
Yang Qing Dept. of Math.
China Univ. of Sci. and Tech.
Hefei 
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Abstract:
      In this paper the Pinching theory for compact submanifolds in a unit sphere is considered. We improve the Pinching constants of S.T. Yau and X.H. Mo for compact submanifolds with parallel mean curvature in sphere and those of S.S. Chern and Y.B. Shen for compact minimal submanifolds. For sectional curvature, we improve the Pinching constant of Y.B. Shen.
Citation:
DOI:10.3770/j.issn:1000-341X.1992.04.010
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