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math.DG2007★ 7 cited
On 4-dimensional gradient shrinking solitons
Lei Ni, Nolan Wallach
In this paper we classify the four dimensional gradient shrinking solitons under certain curvature conditions satisfied by all solitons arising from finite time singularities of Ri…
math.DG2007★ 30 cited
On a classification of the gradient shrinking solitons
Lei Ni, Nolan Wallach
The main purpose of this article is to provide an alternate proof to a result of Perelman on gradient shrinking solitons. In dimension three we also generalize the result by removi…