12 citations · 26 across the 8 of their papers we have counts for
8 papers
Volume bounds of the Ricci flow on closed manifolds
Chih-Wei Chen, Zhenlei Zhang
Let be the solution of the Ricci flow on a closed Riemannian manifold with . Without any assumption, we derive lower volume bounds of the for…
A note on the Hitchin-Thorpe inequality and Ricci flow on 4-manifolds
Yuguang Zhang, Zhenlei Zhang
In this short paper, we prove a Hitchin-Thorpe type inequality for closed 4-manifolds with non-positive Yamabe invariant, and admitting long time solutions of the normalized Ricci…
Non-singular solutions of normalized Ricci flow on noncompact manifolds of finite volume
Fuquan Fang, Yuguang Zhang, Zhenlei Zhang
The main result of this paper shows that, if is a complete non-singular solution of the normalized Ricci flow on a noncompact 4-manifold of finite volume, then the Euler…
Complete gradient shrinking Ricci solitons have finite topological type
Fuquan Fang, Jianwen man, Zhenlei Zhang
We show that a complete Riemannian manifold has finite topological type (i.e., homeomorphic to the interior of a compact manifold with boundary), provided its Bakry-Émery Ricci ten…
Bounding sectional curvature along a Kähler-Ricci flow
Wei-Dong Ruan, Yuguang Zhang, Zhenlei Zhang
If a normalized Kähler-Ricci flow on a compact Kähler -manifold, , of positive first Chern class satisfies and has c…
Two generalizations of Cheeger-Gromoll splitting theorem via Bakry-Émery Ricci curvature
Fuquan Fang, Xiangdong Li, Zhenlei Zhang
In this paper, we prove two generalized versions of the Cheeger-Gromoll splitting theorem via the non-negativity of the Bakry-Émery Ricci curavture on complete Riemannian manifolds…