38 citations · 218 across the 39 of their papers we have counts for
39 papers
Positive mass theorems for singular asymptotically hyperbolic manifolds
Yuguang Shi, Chengzhang Sun, Zijun Wang
Through a careful analysis of the Yamabe equation on singular spaces, we establish a positive mass theorem for singular asymptotically hyperbolic manifolds with arbitrary ends. We…
Foliation of area minimizing hypersurfaces in asymptotically flat manifolds and Schoen's conjecture
Shihang He, Yuguang Shi, Haobin Yu
In this paper, we demonstrate that any asymptotically flat manifold with can be foliated by a family of area-minimizing hypersurfaces, each of which is a…
On open manifolds admitting no complete metric with positive scalar curvature
Yuguang Shi, Jian Wang, Runzhang Wu +1
In this paper, we investigate the topological obstruction problem for positive scalar curvature and uniformly positive scalar curvature on open manifolds. We present a definition f…
Llarull type theorems on complete manifolds with positive scalar curvature
Tianze Hao, Yuguang Shi, Yukai Sun
In this paper, without assuming that manifolds are spin, we prove that if a compact orientable, and connected Riemannian manifold with scalar curvature ad…
Rigidity and Non-Rigidity of with Scalar Curvature Bounded from Below
Tianze Hao, Yuhao Hu, Peng Liu +1
We show that the hyperbolic manifold is not rigid under all compactly supported deformations that preserve the scalar curvature lower bound $-n(n-1)…
Rigidity of 3D spherical caps via -bubbles
Yuhao Hu, Peng Liu, Yuguang Shi
By using Gromov's -bubble technique, we show that the -dimensional spherical caps are rigid under perturbations that do not reduce the metric, the scalar curvature, and the m…