论文标题

Reshetnyak的亚谐波距离理论的简介

An introduction to Reshetnyak's theory of subharmonic distances

论文作者

Fillastre, François

论文摘要

本文的目的是围绕Reshetnyak的亚谐波距离理论提供一些基本知识,并概述主要结果。该文本的目的是与\ cite {r1954},\ cite {res1959}的英语翻译的补充\ cite {r63},\ cite {r63iii}和\ cite {huber}。它们都将以同一卷\ cite {livre}发表。虽然亚谐波距离通常与有界曲率的距离相混淆,但我们将它们作为完整的自主理论表示。反过来,本文没有具体的先决条件。

The aim of the present text is to provide some basics around Reshetnyak's theory of subharmonic distances, together with an overview of the main results. This text is intended to be a complement to the English translation of \cite{R1954}, \cite{Res1959}, \cite{R60I}, \cite{R60II}, \cite{R61}, \cite{R61b}, \cite{R62}, \cite{R63}, \cite{R63III} and \cite{huber}. They all will be published in a same volume \cite{livre}. While subharmonic distances are often confused with distances of bounded curvature, we present them as a complete autonomous theory. In turn, there is no specific prerequisite for the present text.

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