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math.DG2022
Complete hypersurfaces with -constant mean curvature in the unit spheres
Qing-Ming Cheng, Guoxin Wei
In this paper, we study -dimensional complete hypersurfaces with -constant mean curvature in the unit sphere. We give a lower bound of the scalar curvature for -dimensiona…
math.DG2022
Examples of compact embedded -hypersurfaces
Qing-Ming Cheng, Junqi Lai, Guoxin Wei
In the paper, we construct compact embedded -hypersurfaces which are diffeomorphic to a sphere and are not isometric to a standard sphere. Hence, one can not expect to have Alex…
math.DG2022★ 1 cited
A classification of complete -dimensional self-shrinkers in the Euclidean space
Qing-Ming Cheng, Zhi Li, Guoxin Wei
In this paper, we completely classify -dimensional complete self-shrinkers with constant norm of the second fundamental form and constant in Euclidean space $\mathbb…