On complete hypersurfaces with constant scalar curvature n(n-1) in the unit sphere
2023 年 46 巻 1 号 p. 51-61
詳細
2023 年 46 巻 1 号 p. 51-61
Let Mn be an n-dimensional complete and locally conformally flat hypersurface in the unit sphere Sn+1 with constant scalar curvature n(n-1). We show that if the total curvature (∫M|H|n dv)1/n of M is sufficiently small, then Mn is totally geodesic.
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