التفاصيل البيبلوغرافية
العنوان: |
Equivalent characterizations of harmonic Teichmüller mappings |
المؤلفون: |
Qingtian Shi |
المصدر: |
AIMS Mathematics, Vol 7, Iss 6, Pp 11015-11023 (2022) |
بيانات النشر: |
AIMS Press, 2022. |
سنة النشر: |
2022 |
المجموعة: |
LCC:Mathematics |
مصطلحات موضوعية: |
flat harmonic mapping, teichmüller mapping, associated holomorphic quadratic differential, quasiconformal mapping, Mathematics, QA1-939 |
الوصف: |
In this paper, three equivalent conditions of ρ-harmonic Teichmüller mapping are given firstly. As an application, we investigate the relationship between a ρ-harmonic Teichmüller mapping and its associated holomorphic quadratic differential and obtain a relatively simple method to prove Theorem 2.1 in [1]. Furthermore, the representation theorem of 1/|ω|2-harmonic Teichmüller mappings is given as a by-product. Our results extend the corresponding researches of harmonic Teichmüller mappings. |
نوع الوثيقة: |
article |
وصف الملف: |
electronic resource |
اللغة: |
English |
تدمد: |
2473-6988 |
Relation: |
https://doaj.org/toc/2473-6988 |
DOI: |
10.3934/math.2022615?viewType=HTML |
DOI: |
10.3934/math.2022615 |
URL الوصول: |
https://doaj.org/article/d5e0144d1f8c426dae756e1495beba12 |
رقم الانضمام: |
edsdoj.5e0144d1f8c426dae756e1495beba12 |
قاعدة البيانات: |
Directory of Open Access Journals |