3 papers
math.DG2025
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…
math.DG2025
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…
math.DG2025
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…