2 citations · 3 across the 5 of their papers we have counts for
7 papers
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.…
Positive Quaternionic Kaehler manifolds and symmetry rank: II
Fuquan Fang
Let M be a positive quaternionic Kaehler manifold of dimension 4m. If the isometry group Isom(M) has rank at least m/2 +3, then M is isometric to HP^m or Gr_2(C^{m+2}). The lower b…
Homeomorphism Classification of positively curved manifolds with almost maximal symmetry rank
Fuquan Fang, Xiaochun Rong
We show that a closed simply connected 8-manifold (9-manifold) of positive sectional curvature on which a 3-torus (4-torus) acts isometrically is homeomorphic to a sphere, a comple…
Positively curved manifolds with maximal discrete symmetry rank
Fuquan Fang, Xiaochun Rong
Let M be a closed simply connected n-manifold of positive sectional curvature. We determine its homeomorphism or homotopic type if M also admits an isometric elementary p-group act…
Positive quaternionic Kaehler manifolds and symmetry rank
Fuquan Fang
A quaternionic Kähler manifold M is called {\it positive} if it has positive scalar curvature. The main purpose of this paper is to prove several connectedness theorems for quatern…
Fixed points of discrete nilpotent group actions on S^2
Suely Druck, Fuquan Fang, Sebastiao Firmo
We prove that for each integer k of at least 2, there is an open neigborhood ν_k of the identity map of the 2-sphere S^2, in C^1-topology such that: if G is a nilpotent subgroup of…