8 citations · 16 across the 8 of their papers we have counts for
10 papers · 1 filter
Pseudolocality and strong uniqueness for complete Ricci flows
Shaochuang Huang, Zhuo Peng
In this paper, we prove a uniform pseudolocality theorem for smooth complete Ricci flows whose initial metrics have Ricci curvature bounded below and uniformly positive injectivity…
Strong Uniqueness for Instantaneously Complete Chern-Ricci Flow
Shaochuang Huang, Zhuo Peng
In this paper, we study strong uniqueness for smooth instantaneously complete Chern-Ricci flows on noncompact complex manifolds. Under suitable reference metric and positivity assu…
On an invariant curvature cone along 4-dimensional Ricci flow
Hongting Ding, Shaochuang Huang, Zhuo Peng
In this paper, we study 4-dimensional complete noncompact manifolds (M,g) satisfying Rm(g) via Ricci flow. Under the additional assumption of maximal volume…
A note on a diffeomorphism criterion via long-time Ricci flow
Shaochuang Huang, Zhuo Peng
In this note, we give a diffeomorphism (to ) criterion via long-time Ricci flow and show some applications. In particular, we provide an affirmative answer that the c…
Manifolds with small curvature concentration
Pak-Yeung Chan, Shaochuang Huang, Man-Chun Lee
In this work, we construct distance like functions with integral hessian bound on manifolds with small curvature concentration and use it to construct Ricci flows on manifolds with…
Short time existence for harmonic map heat flow with time-dependent metrics
Shaochuang Huang, Luen-Fai Tam
In this work, we obtain a short time existence result for harmonic map heat flow coupled with a smooth family of complete metrics in the domain manifold. Our results generalize sho…
Instantaneously complete Chern-Ricci flow and Kähler-Einstein metrics
Shaochuang Huang, Man-Chun Lee, Luen-Fai Tam
In this work, we obtain some existence results of Chern-Ricci Flows and the corresponding Potential Flows on complex manifolds with possibly incomplete initial data. We discuss the…
Longtime existence of Kähler Ricci flow and holomorphic sectional curvature
Shaochuang Huang, Man-Chun Lee, Luen-Fai Tam +1
In this work, we obtain a existence criteria for the longtime Kähler Ricci flow solution. Using the existence result, we generalize a result by Wu-Yau on the existence of Kähler Ei…
A note on existence of exhaustion functions and its applications
Shaochuang Huang
In this note, we prove an existence result on exhaustion functions adapting the method by L.-F. Tam. Then we apply it to prove short-time existence of Ricci flow and study Yau's un…
Kähler-Ricci flow with unbounded curvature
Shaochuang Huang, Luen-fai Tam
Let be a complete solution to the Ricci flow on a noncompact manifold such that is Kahler. We prove that if for some , then is…