4 papers
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…
Biharmonic distance of graphs
Yulong Wei, Rong-hua Li, Weihua Yang
Lipman et al. [ACM Transactions on Graphics 29 (3) (2010), 1--11] introduced the concept of biharmonic distance to measure the distances between pairs of points on a 3D surface. Bi…
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…