3 citations · 5 across the 14 of their papers we have counts for
20 papers
Bordered hyperbolic manifolds with a fixed perimeter-to-volume ratio
Sami Douba, Franco Vargas Pallete
We exhibit, for any , infinitely many pairwise incommensurable complete finite-volume hyperbolic -manifolds, both compact and noncompact, each with nonempty totally ge…
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…
Epstein curves and holography of the Schwarzian action
Franco Vargas Pallete, Yilin Wang, Catherine Wolfram
We apply Epstein's construction of hypersurfaces in the hyperbolic disk to prove identities between the Schwarzian action on $\operatorname{PSL}_2(\mathbb R)\backslash…
W-volume for planar domains with circular boundary
Jeffrey Brock, Franco Vargas Pallete
We extend the notion of Epstein maps to conformal metrics on submanifolds of the unit sphere . Using this construction for curves in $…