Geodesic
SCALAR CURVATURE OF HYPERSURFACES WITH CONSTANT MEAN CURVATURE IN SPHERES
Glasgow mathematical journal, Tome 54 (2012) no. 1, pp. 67-75

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DOI

Let Mn be an n-dimensional closed hypersurface with constant mean curvature H satisfying |H| ≤ ε(n) in a unit sphere Sn+1(1), n ≤ 8 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 S0 ≤ S ≤ S0 + δ(n, H), then S ≡ S0 and M is isometric to a Clifford hypersurface, where ε(n) is a sufficiently small constant depending on n and .
DOI : 10.1017/S0017089511000358
Mots-clés : Primary 53C42, 53B25 
ZHANG, QIN. SCALAR CURVATURE OF HYPERSURFACES WITH CONSTANT MEAN CURVATURE IN SPHERES. Glasgow mathematical journal, Tome 54 (2012) no. 1, pp. 67-75. doi: 10.1017/S0017089511000358
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     title = {SCALAR {CURVATURE} {OF} {HYPERSURFACES} {WITH} {CONSTANT} {MEAN} {CURVATURE} {IN} {SPHERES}},
     journal = {Glasgow mathematical journal},
     pages = {67--75},
     year = {2012},
     volume = {54},
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     doi = {10.1017/S0017089511000358},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089511000358/}
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