6 citations · 10 across the 3 of their papers we have counts for
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math.DG2015★ 4 cited
A global pinching theorem of complete -hypersurfaces
Shiho Ogata
In this paper, the pinching problems of complete -hypersurfaces in a Euclidean space are studied. By making use of the Sobolev inequality, we prove a global pi…
math.DG2015
2-dimensional complete self-shrinkers in
Qing-Ming Cheng, Shiho Ogata
It is our purpose to study complete self-shrinkers in Euclidean space. First of all, we show some examples of complete self-shrinkers without polynomial volume growth. By making us…