Affiliation:
1. Department of Mathematics, The Chinese University of Hong Kong, Shatin, Hong Kong, China
Abstract
A sufficient condition for the existence of holomorphic quadratic differential on a non-compact simply-connected Riemann surface with prescribed horizontal and vertical trees is obtained. In particular, for any pair of complete ℝ-trees of finite vertices with (n + 2) infinite edges, there exists a polynomial quadratic differential on ℂ of degree n such that the associated vertical and horizontal trees are isometric to the given pair.
Publisher
World Scientific Pub Co Pte Lt
Subject
Applied Mathematics,General Mathematics
Cited by
3 articles.
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