The Loewner Energy via the Renormalised Energy of Moving Frames

IF 2.6 1区数学 Q1 MATHEMATICS, APPLIED

Archive for Rational Mechanics and Analysis Pub Date : 2024-02-12 DOI:10.1007/s00205-024-01957-1

Alexis Michelat, Yilin Wang

引用次数: 0

Abstract

We obtain a new formula for the Loewner energy of Jordan curves on the sphere, which is a Kähler potential for the essentially unique Kähler metric on the Weil–Petersson universal Teichmüller space, as the renormalised energy of moving frames on the two domains of the sphere delimited by the given curve.

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通过运动帧的重正化能量计算卢瓦纳能量

我们得到了球面上约旦曲线的洛伊弗纳能量的新公式，它是魏尔-彼得森普适泰希米勒空间上本质上唯一的凯勒度量的凯勒势，是给定曲线所限定的球面两个域上运动帧的重规范化能量。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Archive for Rational Mechanics and Analysis 物理-力学

CiteScore

5.10

自引率

8.00%

发文量

审稿时长

4-8 weeks

期刊介绍： The Archive for Rational Mechanics and Analysis nourishes the discipline of mechanics as a deductive, mathematical science in the classical tradition and promotes analysis, particularly in the context of application. Its purpose is to give rapid and full publication to research of exceptional moment, depth and permanence.