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RESEARCH ANNOUNCEMENTS Minimally Immersed Hypersurfaces in Spheres With Constant Scalar Curvature
RESEARCH ANNOUNCEMENTS Minimally Immersed Hypersurfaces in Spheres With Constant Scalar Curvature

成庆明,孙华飞
Cheng Qingming Sun Huafei

Northeast University of Technology,Northeast University of Technology
(Northeast University of Technology

收稿日期: 1989-12-25
出版日期: 1989-10-15

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摘要  In[1],Chern S.S.,Do Carmo M.and Kobayashi S.proved that Clifford toriare only hypersurfaces minimally immersed in a unit sphere with constant scalar cur-vature R=n(n-1).And Chern S.S.raise the following problem: Consider the set of all compact minimally immersed hypersurfaces in S~(n+1)(1)with constant scalar curvature.Think of the scalar curvatur as a function on thisset.Is the image of this fúnction a discrete set of positive numbers?
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