28 citations · 94 across the 23 of their papers we have counts for
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math.DG2013★ 5 cited
Linear stability of Perelman's -entropy on symmetric spaces of compact type
Huai-Dong Cao, Chenxu He
Following Cao-Hamilton-Ilmanen, in this paper we study the linear stability of Perelman's -entropy on Einstein manifolds with positive Ricci curvature. We observe the equivalenc…
math.DG2013★ 8 cited
Warped product Einstein metrics on homogeneous spaces and homogeneous Ricci solitons
Chenxu He, Peter Petersen, William Wylie
In this paper we consider connections between Ricci solitons and Einstein metrics on homogeneous spaces. We show that a semi-algebraic Ricci soliton admits an Einstein one-dimensio…