3 papers
math.DG2018
Brown-York mass and positive scalar curvature II - Besse's conjecture and related problems
Yi Fang, Wei Yuan
The Besse's conjecture was posted on the well-known book Einstein manifolds by Arthur L. Besse, which describes the critical point of Hilbert-Einstein functional with constraint of…
math.DG2017
A sphere theorem for Bach-flat manifolds with positive constant scalar curvature
Yi Fang, Wei Yuan
We show a closed Bach-flat Riemannian manifold with a fixed positive constant scalar curvature has to be locally spherical if its Weyl and traceless Ricci tensors are small in the…
math.DG2017
Complete bounded -hypersurfaces in the weighted volume-preserving mean curvature flow
Yecheng Zhu, Yi Fang, Qing Chen
In this paper, we study the complete bounded -hypersurfaces in weighted volume-preserving mean curvature flow. Firstly, we investigate the volume comparison theorem of complete…