4 citations · 5 across the 2 of their papers we have counts for
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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…