A question of Kuhnau
Complex Variables
2018-08-09 v1
Abstract
It is well known that the square is not a Strebel's point (i.e., its extremal Beltrami coefficient is not Teichmuller). Many years ago, Reiner Kuhnau posed the question: does there exist in the case of a "long" rectangle the corresponding holomorphic quadratic differential? We prove that the answer is negative for any bounded convex quadrilateral and establish a stronger result for rectangles.
Cite
@article{arxiv.1808.02845,
title = {A question of Kuhnau},
author = {Samuel L. Krushkal},
journal= {arXiv preprint arXiv:1808.02845},
year = {2018}
}
Comments
arXiv admin note: text overlap with arXiv:1806.02760