Please use this identifier to cite or link to this item:
http://dx.doi.org/10.14279/depositonce-9001.3
For citation please use:
For citation please use:
Main Title: | Discrete Yamabe problem for polyhedral surfaces |
Author(s): | Kourimska, Hana Springborn, Boris |
Type: | Preprint |
URI: | https://depositonce.tu-berlin.de/handle/11303/10010.3 http://dx.doi.org/10.14279/depositonce-9001.3 |
License: | http://rightsstatements.org/vocab/InC/1.0/ |
Abstract: | We introduce a new discretization of the Gaussian curvature on piecewise at surfaces. As the prime new feature the curvature is scaled by the factor 1/r2 upon scaling the metric globally with the factor r. We develop a variational principle to tackle the corresponding discrete uniformisation theorem – we show that each piecewise at surface is discrete conformally equivalent to one with constant discrete Gaussian curvature. This surface is in general not unique. We demonstrate uniqueness for particular cases and disprove it in general by providing explicit counterexamples. Special attention is paid to dealing with change of combinatorics. |
Subject(s): | uniformization polyhedral surfaces Gaussian curvature flat surface |
Issue Date: | 13-Sep-2019 |
Date Available: | 17-Sep-2019 15-Oct-2019 |
Language Code: | en |
DDC Class: | 516 Geometrie |
TU Affiliation(s): | Fak. 2 Mathematik und Naturwissenschaften » Inst. Mathematik » FG Geometrie und Visualisierung |
Appears in Collections: | Technische Universität Berlin » Publications |
Files in This Item:
kourimska_springborn_2019_v2.pdf
DownloadShow Preview
updated version (14.10.2019)
Format: Adobe PDF | Size: 282.97 kBDownloadShow Preview
Version History
Version | Item | Date | Summary |
---|---|---|---|
3 | 10.14279/depositonce-9001.3 | 2019-10-14 17:36:47.411 | Structure of the preprint improved, several typos removed. |
1 | 10.14279/depositonce-9001 | 2019-09-17 09:20:26.0 |
Items in DepositOnce are protected by copyright, with all rights reserved, unless otherwise indicated.