Franco Vargas Pallete

activity

20192022

most citedUpper bounds on Renormalized Volume for Schottky groups

2 citations · 2 across the 4 of their papers we have counts for

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Showing 2020Show all

2 papers · 1 filter

math.DG2020

The length of the shortest closed geodesic on positively curved 2-spheres

Ian Adelstein, Franco Vargas Pallete

We show that the shortest closed geodesic on a 2-sphere with non-negative curvature has length bounded above by three times the diameter. We prove a new isoperimetric inequality fo…

math.GT2020

Hyperbolic limits of Cantor set complements in the sphere

Tommaso Cremaschi, Franco Vargas Pallete

Let $M$ be a hyperbolic 3-manifold with no rank two cusps admitting an embedding in $S^{3}$ . Then, if $M$ admits an exhaustion by $π_{1}$ -injective sub-manifolds there exists c…