5 citations · 10 across the 4 of their papers we have counts for
7 papers
Tangent Flows of Kähler Metric Flows
Max Hallgren, Wangjian Jian
We improve the description of -limits of noncollapsed Ricci flows in the Kähler setting. In particular, the singular strata of such metric flows satisfy…
On the improved no-local-collapsing theorem of Ricci flow
Wangjian Jian
In this note we derive an improved no-local-collapsing theorem of Ricci flow under the scalar curvature bound condition along the worldline of the basepoint. It is a refinement of…
Diameter and Ricci curvature estimates for long-time solutions of the Kahler-Ricci flow
Wangjian Jian, Jian Song
It is well known that the Kähler-Ricci flow on a Kähler manifold admits a long-time solution if and only if is a minimal model, i.e., the canonical line bundle is nef…
Global higher order estimates for collapsing Calabi-Yau metrics on elliptic K3 surfaces
Wangjian Jian, Yalong Shi
We improve Gross-Wilson's local estimates to global ones. As an application, we study the blow-up limits of the degenerating Calabi-Yau metrics on singular fibers.
A "boundedness implies convergence" principle and its applications to collapsing estimates in Kähler geometry
Wangjian Jian, Yalong Shi
We establish a general "boundedness implies convergence" principle for a family of evolving Riemannian metrics. We then apply this principle to collapsing Calabi-Yau metrics and no…
Convergence of scalar curvature of Kahler-Ricci flow on manifolds of positive Kodaira dimension
Wangjian Jian
In this paper, we consider Kahler-Ricci flow on n-dimensional Kahler manifold with semi-ample canonical line bundle and 0< m:= Kod(X)<n. Such manifolds admit a Calabi-Yau fibration…