4 papers · 1 filter
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…