321 citations
- University of BonnDE6 papers
- Chinese Academy of SciencesCN4 papers
- Institute of Theoretical PhysicsCN4 papers
- Beijing Normal UniversityCN3 papers
- Harbin Institute of TechnologyCN3 papers
- Max Planck Institute for MathematicsDE3 papers
- Max Planck Institute for Mathematics in the SciencesDE3 papers
- Hebei Normal UniversityCN2 papers
- Institute of High Energy PhysicsCN2 papers
- Northeast Normal UniversityCN2 papers
- Academia SinicaTW1 paper
- Academy of Mathematics and Systems ScienceCN1 paper
4 papers · 1 filter
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…
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.…
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…