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math.DG2009★ 1 cited
Perelman's collapsing theorem for 3-manifolds
Jianguo Cao, Jian Ge
We will simplify the earlier proofs of Perelman's collapsing theorem of 3-manifolds given by Shioya-Yamaguchi and Morgan-Tian. Among other things, we use Perelman's semi-convex ana…
math.DG2009★ 1 cited
Gradient map of isoparametric polynomial and its application to Ginzburg-Landau system
Jianquan Ge, Yuquan Xie
In this note, we study properties of the gradient map of the isoparametric polynomial. For a given isoparametric hypersurface in sphere, we calculate explicitly the gradient map of…