4 papers
Remarks on minimal hypersurfaces in shrinking gradient Ricci solitons
Yukai Sun, Guangrui Zhu
In this paper, we prove that any compact 2-sided smooth stable minimal hypersurface in a shrinking gradient Ricci soliton with scalar curvature must hav…
Positive mass theorem for asymptotically flat manifolds with isolated conical singularities
Xianzhe Dai, Yukai Sun, Changliang Wang
We prove the positive mass theorem for asymptotical flat (AF for short) manifolds with finitely many isolated conical singularities. We do not impose the spin condition. Instead we…
Positive mass theorem for asymptotically flat spin manifolds with isolated conical singularities
Xianzhe Dai, Yukai Sun, Changliang Wang
There has been a lot of interests in Positive Mass Theorems for singular metrics on smooth manifolds. We prove a positive mass theorem for asymptotically flat (AF) spin manifolds w…
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…