2 citations · 3 across the 5 of their papers we have counts for
10 papers · 1 filter
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…
Knots in Riemannian manifolds
Fuquan Fang, S. Mendonca
In this paper we study submanifold with nonpositive extrinsic curvature in a positively curved manifold. Among other things we prove that, if is a totally geode…
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…
Convergence of Kaehler-Ricci flow with integral curvature bound
Fuquan Fang, Yuguang Zhang
Let , , be a solution of the normalized Kähler-Ricci flow on a compact Kähler -manifold with and initial metric .…
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…
Finite isometry groups of 4-manifolds with positive sectional curvature
Fuquan Fang
Let M be an oriented compact positively curved 4-manifold. Let G be a finite subgroup of the isometry group of . Among others, we prove that there is a universal constant C (cf.…