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- W2034814189 abstract "Abstract Let M be an n -dimensional closed hypersurface with constant mean curvature H satisfying | H | ≤ ϵ( n ) in a unit sphere S n +1 , n ≤ 7, and S the square of the length of the second fundamental form of M . There exists a constant δ( n , H ) > 0, which depends only on n and H , such that if S 0 ≤ S ≤ S 0 + δ( n , H ), then S ≡ S 0 and M is isometric to a Clifford hypersurface, where ϵ( n ) is a sufficiently small constant depending on n and $S_0=n+frac{n^3}{2(n-1)}H^2+frac{n(n-2)}{2(n-1)}sqrt{n^2H^4+4(n-1)H^2}$ ." @default.
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- W2034814189 date "2009-05-01" @default.
- W2034814189 modified "2023-09-26" @default.
- W2034814189 title "SCALAR CURVATURE OF HYPERSURFACES WITH CONSTANT MEAN CURVATURE IN A SPHERE" @default.
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