11 citations · 17 across the 3 of their papers we have counts for
3 papers
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…
math.DG2007★ 2 cited
Complete Shrinking Ricci Solitons have Finite Fundamental Group
William Wylie
We show that if a complete Riemannian manifold supports a vector field such that the Ricci tensor plus the Lie derivative of the metric with respect to the vector field has a posit…