127 citations · 305 across the 22 of their papers we have counts for
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math.DG2013★ 3 cited
Sectional curvature for Riemannian manifolds with density
William Wylie
In this paper we introduce two new notions of sectional curvature for Riemannian manifolds with density. Under both notions of curvature we classify the constant curvature manifold…
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…