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math.DG2021
The second gap on complete self-shrinkers
Qing-Ming Cheng, Guoxin Wei, Wataru Yano
In this paper, we study complete self-shrinkers in Euclidean space and prove that an -dimensional complete self-shrinker in Euclidean space is isometric to ei…
math.DG2021
Chern conjecture on minimal hypersurfaces
Qing-Ming Cheng, Guoxin Wei, Takuya Yamashiro
In this paper, we study -dimensional complete minimal hypersurfaces in a unit sphere. We prove that an -dimensional complete minimal hypersurface with constant scalar curvatu…