33 citations · 37 across the 9 of their papers we have counts for
9 papers
The logarithmic Sobolev inequality for a submanifold in manifold with nonnegative sectional curvature
Chengyang Yi, Yu Zheng
We prove a sharp logarithmic Sobolev inequality which holds for compact submanifolds without boundary in Riemannian manifold with nonnegative sectional curvature of arbitrary dimen…
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…
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…
New proofs of Perelman's theorem on shrinking Breathers in Ricci flow
Peng Lu, Yu Zheng
We give two new proofs of Perelman's theorem that shrinking breathers of Ricci flow on closed manifolds are gradient Ricci solitons, using the fact that the singularity models of t…
A Note on Conformal Ricci Flow
Peng Lu, Jie Qing, Yu Zheng
In this note we study conformal Ricci flow introduced by Arthur Fischer. We use DeTurck's trick to rewrite conformal Ricci flow as a strong parabolic-elliptic partial differential…
An Interpolating Curvature Condition Preserved By Ricci Flow
Xiang Gao, Yu Zheng
In this paper, we firstly establish an Interpolating curvature invariance between the well known nonnegative and 2-non-negative curvature invariant along the Ricci flow. Then a rel…