S. Ogata

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20032015

most citedToric varieties - degenerations and fundamental groups

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 $λ$ -hypersurfaces

Shiho Ogata

In this paper, the pinching problems of complete $λ$ -hypersurfaces in a Euclidean space $R^{n + 1}$ are studied. By making use of the Sobolev inequality, we prove a global pi…

math.DG2015

2-dimensional complete self-shrinkers in $R^{3}$

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…

math.DG2014

Rigidity theorems of $λ$ -hypersurfaces

Qing-Ming Cheng, Shiho Ogata, Guoxin Wei

Since $n$ -dimensional $λ$ -hypersurfaces in the Euclidean space $R^{n + 1}$ are critical points of the weighted area functional for the weighted volume-preserving variations…

A global pinching theorem of complete λ-hypersurfaces

2-dimensional complete self-shrinkers in R3

Rigidity theorems of λ-hypersurfaces

A global pinching theorem of complete $λ$ -hypersurfaces

2-dimensional complete self-shrinkers in $R^{3}$

Rigidity theorems of $λ$ -hypersurfaces