28 citations · 94 across the 23 of their papers we have counts for
5 papers · 2 filters
Uniqueness of warped product Einstein metrics and applications
Chenxu He, Peter Petersen, William Wylie
We prove that complete warped product Einstein metrics with isometric bases, simply connected space form fibers, and the same Ricci curvature and dimension are isometric. In the co…
Warped product rigidity
Chenxu He, Peter Petersen, William Wylie
In this paper we study the space of solutions to an overdetermined linear system involving the Hessian of functions. We show that if the solution space has dimension greater than o…
Ricci solitons on Sasakian manifolds
Chenxu He, Meng Zhu
We show that a Sasakian metric which also satisfies the gradient Ricci soliton equation is necessarily Einstein.
Gradient Yamabe Solitons on Warped Products
Chenxu He
The special nature of gradient Yamabe soliton equation which was first observed by Cao-Sun-Zhang\cite{CaoSunZhang} shows that a complete gradient Yamabe soliton with non-constant p…
On Bach flat warped product Einstein manifolds
Qiang Chen, Chenxu He
In this paper we show that a compact warped product Einstein manifold with vanishing Bach tensor of dimension is a finite quotient of a warped product with -dimen…