5 papers
Asymptotically geodesic hypersurfaces and the fundamental groups of hyperbolic manifolds
Xiaolong Hans Han, Ruojing Jiang
We consider closed hypersurfaces smoothly immersed in hyperbolic manifolds up to homotopy and commensurability. We prove that if a closed hyperbolic manifold contains a sequenc…
Area bounds for constant mean curvature surfaces in hyperbolic 3-manifolds
Ruojing Jiang
On a finite-volume hyperbolic -manifold, we establish an upper bound on the area of closed embedded surfaces with constant mean curvature at least one, depending on the mean cur…
Volume comparison on finite-volume hyperbolic 3-manifolds
Ruojing Jiang, Franco Vargas Pallete
On finite-volume hyperbolic -manifolds, we compare volumes of different metrics using the exponential convergence of Ricci-DeTurck flow toward the hyperbolic metric . We pr…
Minimal surface entropy and applications of Ricci flow on finite-volume hyperbolic 3-manifolds
Ruojing Jiang, Franco Vargas Pallete
This paper studies minimal surface entropy (the exponential asymptotic growth of the number of minimal surfaces up to a given value of area) for negatively curved metrics on hyperb…
On the stability of Ricci flow on hyperbolic 3-manifolds of finite volume
Ruojing Jiang, Franco Vargas Pallete
On a hyperbolic 3-manifold of finite volume, we prove that if the initial metric is sufficiently close to the hyperbolic metric , then the normalized Ricci-DeTurck flow exists…