12 citations · 33 across the 9 of their papers we have counts for
9 papers
Condensed Ricci Curvature on Paley Graphs and their Generalizations
Vincent Bonini, Daniel Chamberlin, Stephen Cook +2
We explore properties of generalized Paley graphs and we extend a result of Lim and Praeger by providing a more precise description of the connected components of disconnected gene…
Condensed Ricci Curvature of Complete and Strongly Regular Graphs
Vincent Bonini, Conor Carroll, Uyen Dinh +3
We study a modified notion of Ollivier's coarse Ricci curvature on graphs introduced by Lin, Lu, and Yau in [11]. We establish a rigidity theorem for complete graphs that shows a c…
Hypersurfaces with nonnegative Ricci curvature in hyperbolic space
Vincent Bonini, Shiguang Ma, Jie Qing
Based on properties of n-subharmonic functions we show that a complete, noncompact, properly embedded hypersurface with nonnegative Ricci curvature in hyperbolic space has an asymp…
Weakly Horospherically Convex Hypersurfaces in Hyperbolic Space
Vincent Bonini, Jie Qing, Jingyong Zhu
In [2], the authors develop a global correspondence between immersed weakly horospherically convex hypersurfaces and a class of conformal metrics on do…
On nonnegatively curved hypersurfaces in hyperbolic space
Vincent Bonini, Shiguang Ma, Jie Qing
In this paper we prove the conjecture of Alexander and Currier that states, except for covering maps of equidistant surfaces in hyperbolic 3-space, a complete, nonnegatively curved…
Hypersurfaces in hyperbolic space with support function
Vincent Bonini, Jose Espinar, Jie Qing
In this paper we develop a global correspondence between immersed horospherically convex hypersurfaces in hyperbolic space and complete conformal metrics on domains in the sphere.…