Eden Prywes

activity

20182024

most citedOn the Moduli of Lipschitz Homology Classes

2 citations · 4 across the 8 of their papers we have counts for

collaborators

9 papers

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.DG2022★ 2 cited

On the Moduli of Lipschitz Homology Classes

Ilmari Kangasniemi, Eden Prywes

We define a type of modulus $dMod_{p}$ for Lipschitz surfaces based on $L^{p}$ -integrable measurable differential forms, generalizing the vector modulus of Aikawa and Oh…

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.FA2020

On Schwartz equivalence of quasidiscs and other planar domains

Eden Prywes, Ary Shaviv

Two open subsets of $R^{n}$ are called Schwartz equivalent if there exists a diffeomorphism between them that induces an isomorphism of Fréchet spaces between their spaces o…

math.CV2018★ 2 cited

Open and Discrete Maps with Piecewise Linear Branch Set Images are Piecewise Linear Maps

Rami Luisto, Eden Prywes

The image of the branch set of a PL branched cover between PL $n$ -manifolds is a simplicial $(n - 2)$ -complex. We demonstrate that the reverse implication also holds: an open and dis…

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…

math.AP2018

The Hodge Star Operator and the Beltrami Equation

Eden Prywes

An essentially unique homeomorphic solution to the Beltrami equation was found in the 1960s using the theory of Calderón-Zygmund and singular integral operators in $L^{p} (C)$ …