20 citations · 115 across the 45 of their papers we have counts for
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Radius estimates for Alexandrov space with boundary
Jian Ge, Ronggang Li
In this note, we study the radius of positively curved or non-negatively curved Alexandrov space with strictly convex boundary, with convexity measured by the Base-Angle defined by…
Rigidity for positively curved Alexandrov spaces with boundary
Jian Ge, Ronggang Li
Inspired by a recent work of Grove-Petersen in [GP18], where the authors studied Alexandrov spaces with largest possible boundary. We study Alexandrov spaces with lower curvature b…
Isoparametric polynomials and sums of squares
Jianquan Ge, Zizhou Tang
Hilbert's 17th problem asks that whether every nonnegative polynomial can be a sum of squares of rational functions. It has been answered affirmatively by Artin. However, the quest…
Some generalizations of the DDVV and BW inequalities
Jianquan Ge, FaGui Li, Yi Zhou
In this paper we generalize the known DDVV-type inequalities for real (skew-)symmetric and complex (skew-)Hermitian matrices to arbitrary real, complex and quaternionic matrices. I…