9 citations · 35 across the 32 of their papers we have counts for
34 papers
Steady gradient Ricci Yang-Mills solitons on 2-orbifolds
Peng Lu, Jiuru Zhou
Following the recent work of M. Womack \cite{Wo26} we consider the steady Ricci Yang-Mills solitons on 2d surfaces containing orbifold point . We show th…
Conformal Bach flow
Jiaqi Chen, Peng Lu, Jie Qing
In this article we introduce conformal Bach flow and establish its well-posedness on closed manifolds. We also obtain its backward uniqueness. To give an attempt to study the long-…
Monotonicity of functionals along conformal Ricci flow
Fengjiang Li, Peng Lu, Jianhong Wang +1
The main purpose of this note is to construct two functionals of the positive solutions to the conjugate heat equation associated to the metrics evolving by the conformal Ricci flo…
Evolution of relative Yamabe constant under Ricci Flow
Boris Botvinnik, Peng Lu
Let be a manifold with boundary given together with a conformal class which restricts to a conformal class on . Then the relative Yamabe constant $Y_{\bar C…
Ancient solutions for Andrews' hypersurface flow
Peng Lu, Jiuru Zhou
We construct the ancient solutions of the hypersurface flows in Euclidean spaces studied by B. Andrews in 1994. As time the solutions collapse to a round point…
Conformal Ricci flow on asymptotically hyperbolic manifolds
Peng Lu, Jie Qing, Yu Zheng
In this article we study the short-time existence of conformal Ricci flow on asymptotically hyperbolic manifolds. We also prove a local Shi's type curvature derivative estimate for…