12 citations · 33 across the 9 of their papers we have counts for
6 papers · 1 filter
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.…
Hypersurfaces in Hyperbolic Poincaré Manifolds and Conformally Invariant PDEs
Vincent Bonini, José M. Espinar, Jie Qing
We derive a relationship between the eigenvalues of the Weyl-Schouten tensor of a conformal representative of the conformal infinity of a hyperbolic Poincaré manifold and the princ…
Ricci Curvature Rigidity for Weakly Asymptotically Hyperbolic Manifolds
Vincent Bonini, Pengzi Miao, Jie Qing
A rigidity result for weakly asymptotically hyperbolic manifolds with lower bounds on Ricci curvature is proved without assuming that the manifolds are spin. The argument makes use…