Eden Prywes

collaborators

5 papers

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.CV2018

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 $L^{p} (C)$ …