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math.DG2026
Total scalar curvature under a curvature operator lower bound
Jian Ge, Chuanhuan Li, Ronggang Li
Let be a complete, simply connected Riemannian manifold without boundary, of dimension , with curvature operator at least that of the unit sphere. We prove that…
math.DG2018
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…
math.DG2018
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…