127 citations · 350 across the 23 of their papers we have counts for
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math.DG2007★ 127 cited
On the classification of gradient Ricci solitons
Peter Petersen, William Wylie
We show that the only complete shrinking gradient Ricci solitons with vanishing Weyl tensor are quotients of the standard ones. This gives a new proof of the Hamilton-Ivey-Perel'ma…
math.DG2007★ 11 cited
Rigidity of gradient Ricci Solitons
Peter Petersen, William Wylie
We define a gradient Ricci soliton to be rigid if it is a flat bundle where is Einstein. It is known that not all gradient solitons are rigid. Here…
math.DG2007★ 4 cited
On gradient Ricci solitons with Symmetry
Peter Petersen, William Wylie
We study gradient Ricci solitons with maximal symmetry. First we show that there are no non-trivial homogeneous gradient Ricci solitons. Thus the most symmetry one can expect is an…