20 citations · 115 across the 45 of their papers we have counts for
7 papers · 1 filter
Soul Theorem for 4-dimensional Topologically Regular Open Nonnegatively Curved Alexandrov Spaces
Jian Ge
In this paper, we study the topology of topologically regular 4-dimensional open non-negatively curved Alexandrov spaces. These spaces occur naturally as the blow-up limits of comp…
Chern conjecture and isoparametric hypersurfaces
Jianquan Ge, Zizhou Tang
In this note we will review the most important results and questions related to Chern conjecture and isoparametric hypersurfaces, as well as their interactions and applications to…
Anisotropic isoparametric hypersurfaces in Euclidean spaces
Jianquan Ge, Hui Ma
In this note, we give a classification of complete anisotropic isoparametric hypersurfaces, i.e., hypersurfaces with constant anisotropic principal curvatures, in Euclidean spaces,…
A survey on the DDVV conjecture
Jianquan Ge, Zizhou Tang
In this note we give a survey on the DDVV conjecture which is also called the "normal scalar curvature conjecture".
Geometry of isoparametric hypersurfaces in Riemannian manifolds
Jianquan Ge, Zizhou Tang
In a previous work, we studied isoparametric functions on Riemannian manifolds, especially on exotic spheres. One result there says that, in the family of isoparametric hypersurfac…
A simple proof of Perelman's collapsing theorem for 3-manifolds
Jianguo Cao, Jian Ge
We will simplify earlier proofs of Perelman's collapsing theorem for 3-manifolds given by Shioya-Yamaguchi and Morgan-Tian. Among other things, we use Perelman's critical point the…