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- W4291315692 abstract "We define a Gauss map $gamma:Mrightarrowmathbb{S}^{6}$ of an oriented hypersurface $M$ of the unit sphere $mathbb{S}^{7}$ and prove that $gamma$ is harmonic if and only if $M$ has CMC. Results on the geometry and topology of CMC hypersurfaces of $mathbb{S}^{7}$, under hypothesis on the image of $gamma$, are then obtained. By a Hopf symmetrization process we define a Gauss map for hypersurfaces of $mathbb{CP}^{3}$ and obtain similar results for CMC hypersurfaces of this space." @default.
- W4291315692 created "2022-08-14" @default.
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- W4291315692 date "2017-03-07" @default.
- W4291315692 modified "2023-09-27" @default.
- W4291315692 title "Gauss map and the topology of constant mean curvature hypersurfaces of $mathbb{S}^{7}$ and $mathbb{CP}^{3}$" @default.
- W4291315692 doi "https://doi.org/10.48550/arxiv.1703.02560" @default.
- W4291315692 hasPublicationYear "2017" @default.
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