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- W2393135636 abstract "Let x : Mn→Sn+1 be a hypersurface in the (n+1)-dimensional unit sphere Sn+1 without umbilics. Two basis invariants of x under the Mobius transformation group of Sn+1 are the Mobius metric g and the Mobius second fundamental form B, which determine the hypersurface x up to a Mobius transformation if n≥3. In addition, the Mobius formΦis a important invariant. The assumptionΦ= 0 is necessary in some classification theorems. In this paper, we consider the n-dimensional hypersurfaces (n≥3) with vanishing Mobius formΦ. We classify the hypersurfaces with harmonic Mobius curvature tensor. Moreover, we classify all Einstein hypersurfaces and all hypersurfaces of constant sectional curvature with respect to Mobius metric." @default.
- W2393135636 created "2016-06-24" @default.
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- W2393135636 date "2008-01-01" @default.
- W2393135636 modified "2023-09-23" @default.
- W2393135636 title "Hypersurfaces With Harmonic Mobius Curvature in S~(n+1)" @default.
- W2393135636 hasPublicationYear "2008" @default.
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