29 citations · 39 across the 8 of their papers we have counts for
8 papers
The metric extension problem under positive and negative curvature conditions
Wenlong Wang, Jintian Zhu
We first prove that every smooth boundary metric on a compact manifold extends to a metric with any prescribed positive lower bound for Ricci curvature, whereas extensions under st…
Total mean curvature of the boundary and nonnegative scalar curvature fill-ins
Yuguang Shi, Wenlong Wang, Guodong Wei
In the first part of this paper, we prove the extensibility of an arbitrary boundary metric to a positive scalar curvature (PSC) metric inside for a compact manifold with boundary,…
On the Fill-in of Nonnegative Scalar Curvature Metrics
Yuguang Shi, Wenlong Wang, Guodong Wei +1
In the first part of this paper, we consider the problem of fill-in of nonnegative scalar curvature (NNSC) metrics for a triple of Bartnik data . We prove that given a met…
On the entire self-shrinking solutions to Lagrangian mean curvature flow II
Rongli Huang, Qianzhong Ou, Wenlong Wang
We show Bernstein type results for the entire self-shrinking solutions to Lagrangian mean curvature flow in . The proofs rely on a priori est…
On the Rigidity of Riemannian-Penrose Inequality for Asymptotically Flat 3-manifolds with Corners
Yuguang Shi, Wenlong Wang, Haobin Yu
In this paper we prove a rigidity result for the equality case of the Penrose inequality on -dimensional asymptotically flat manifolds with nonnegative scalar curvature and corn…
Rigidity of Entire Convex Self-Shrinking Solutions to Hessian Quotient Flows
Wenlong Wang
We prove that all entire smooth strictly convex self-shrinking solutions on to the Hessian quotient flows must be quadratic. This generalizes the rigidity theorem fo…