7 citations · 10 across the 3 of their papers we have counts for
4 papers · 1 filter
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…
Warped product Einstein metrics over spaces with constant scalar curvature
Chenxu He, Peter Petersen, William Wylie
In this paper we study warped product Einstein metrics over spaces with constant scalar curvature. We call such a manifold rigid if the universal cover of the base is Einstein or i…
On the classification of warped product Einstein metrics
Chenxu He, Peter Petersen, William Wylie
In this paper we take the perspective introduced by Case-Shu-Wei of studying warped product Einstein metrics through the equation for the Ricci curvature of the base space. They ca…
New Examples of Obstructions to Non-Negative Sectional Curvatures in Cohomogeneity One Manifolds
Chenxu He
K. Grove, L. Verdiani, B. Wilking and W. Ziller gave the first examples of cohomogeneity one manifolds which do not carry invariant metrics with non-negative sectional curvatures.…