# Harmonic maps between 3-dimensional hyperbolic spaces

Markovic, V

1 January 2015

## Journal:

Inventiones Mathematicae

## Last Updated:

2021-01-10T14:19:08.073+00:00

3

199

## DOI:

10.1007/s00222-014-0536-x

921-951

## abstract:

© 2014, Springer-Verlag Berlin Heidelberg. We prove that a quasiconformal map of the sphere (Formula presented.) admits a harmonic quasi-isometric extension to the hyperbolic space 371, thus confirming the well known Schoen Conjecture in dimension 3.

1109990

Not Submitted

Journal Article