2 citations · 2 across the 4 of their papers we have counts for
4 papers · 1 filter
Rigidity of eigenvalues of shrinking Ricci solitons
Chang Li, Huaiyu Zhang, Xi Zhang
In this paper, we study the rigidity of eigenvalues of shring Ricci solitons. It is known that the drifted Laplacian on shrinking Ricci solitons has discrete spectrum, its eigenval…
The Penrose Inequality for Metrics with Singular Sets
Huaiyu Zhang
We study the Penrose inequality and its rigidity for metrics with singular sets. Our result could be viewed as a complement of Theorem 1.1 of Lu and Miao (J. Funct. Anal. 281, 2021…
Weak scalar curvature lower bounds along Ricci flow
Wenshuai Jiang, Weimin Sheng, Huaiyu Zhang
In this paper, we study Ricci flow on compact manifolds with a continuous initial metric. It was known from Simon that the Ricci flow exists for a short time. We prove that the sca…
Removable singularity of positive mass theorem with continuous metrics
Wenshuai Jiang, Weimin Sheng, Huaiyu Zhang
In this paper, we consider asymptotically flat Riemannnian manifolds with metric and is smooth away from a closed bounded subset and the scalar curvatur…