21 citations · 48 across the 37 of their papers we have counts for
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math.DG2014
The Gauss image of -hypersurfaces and a Bernstein type problem
Qing-Ming Cheng, Guoxin Wei
In this paper, our purpose is to study rigidity theorems for -hypersurfaces in Euclidean space under Gauss map. As a Bernstein type problem for -hypersurfaces, we prove that…
math.DG2014
Rigidity theorems of -hypersurfaces
Qing-Ming Cheng, Shiho Ogata, Guoxin Wei
Since -dimensional -hypersurfaces in the Euclidean space are critical points of the weighted area functional for the weighted volume-preserving variations…
math.DG2014★ 21 cited
Complete -hypersurfaces of weighted volume-preserving mean curvature flow
Qing-Ming Cheng, Guoxin Wei
In this paper, we introduce a definition of -hypersurfaces of weighted volume-preserving mean curvature flow in Euclidean space. We prove that -hypersurfaces are critical poi…