Eden Prywes

activity

20182024

collaborators

Showing math.DGShow all

5 papers · 1 filter

math.DG2024

On elliptic and quasiregularly elliptic manifolds

Fedor Manin, Eden Prywes

In his book "Metric structures for Riemannian and non-Riemannian spaces", Gromov defined two properties of Riemannian manifolds, ellipticity and quasiregular ellipticity, and sugge…

math.DG2023

On the optimal conformal capacity of linked curves

André Guerra, Eden Prywes

We investigate the following optimization problem: what is the least possible conformal capacity of a pair of linked curves in $S^{3}$ ? A natural conjecture, due to Gehring, Martin a…

math.DG2021

Quasiconformal Flows on non-Conformally Flat Spheres

Sun-Yung Alice Chang, Eden Prywes, Paul Yang

We study integral curvature conditions for a Riemannian metric $g$ on $S^{4}$ that quantify the best bilipschitz constant between $(S^{4}, g)$ and the standard metric on $S^{4}$ . Our resu…

math.DG2021

Quasiregular Curves of Small Distortion in Product Manifolds

Susanna Heikkilä, Pekka Pankka, Eden Prywes

We consider, for $n \geq 3$ , $K$ -quasiregular $vol_{N}^{\times}$ -curves $M \to N$ of small distortion $K \geq 1$ from oriented Riemannian $n$ -manifolds into Riemannian produc…

math.DG2018

A Bound on the Cohomology of Quasiregularly Elliptic Manifolds

Eden Prywes

We show that a closed, connected and orientable Riemannian manifold of dimension $d$ that admits a quasiregular mapping from $R^{d}$ must have bounded cohomological dimension…