Academic Journal

Equivalent characterizations of harmonic Teichmüller mappings

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
الوصف
تدمد:24736988
DOI:10.3934/math.2022615?viewType=HTML