Please use this identifier to cite or link to this item: https://doi.org/10.2140/pjm.2006.225.287
Title: Circle packings on surfaces with projective structures and uniformization
Authors: Kojima, S.
Mizushima, S.
Tan, S.P. 
Keywords: Circle packing
Projective structure
Teichmüller space
Uniformization
Issue Date: Jun-2006
Source: Kojima, S., Mizushima, S., Tan, S.P. (2006-06). Circle packings on surfaces with projective structures and uniformization. Pacific Journal of Mathematics 225 (2) : 287-300. ScholarBank@NUS Repository. https://doi.org/10.2140/pjm.2006.225.287
Abstract: Let Σg be a closed orientable surface of genus g ≥ 2 and a graph on Σg with one vertex that lifts to a triangulation of the universal cover. We have shown before that the cross ratio parameter space C{script}τ associated with τ, which can be identified with the set of all pairs of a projective structure and a circle packing on it with nerve isotopic to τ is homeomorphic to R{double-struck}6g-6, and moreover that the forgetting map of C{script}τ to the space of projective structures is injective. Here we show that the composition of the forgetting map with the uniformization from C{script}τ to the Teichmüller space T{script}g is proper.
Source Title: Pacific Journal of Mathematics
URI: http://scholarbank.nus.edu.sg/handle/10635/102985
ISSN: 00308730
DOI: 10.2140/pjm.2006.225.287
Appears in Collections:Staff Publications

Show full item record
Files in This Item:
There are no files associated with this item.

WEB OF SCIENCETM
Citations

1
checked on Jan 30, 2018

Page view(s)

21
checked on Feb 19, 2018

Google ScholarTM

Check

Altmetric


Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.