Some Criteria of Capacitive Type of a Noncompact Riemannian Manifold

IF 0.2 Q4 MATHEMATICS

Moscow University Mathematics Bulletin Pub Date : 2022-07-12 DOI:10.3103/s0027132222020036

T. R. Igonina, V. M. Keselman, O. R. Paraskevopulo

引用次数: 0

Abstract

A fairly general concept of an integral capacity on a Riemannian manifold is considered, which includes the concepts of capacity known for the geometric theory of functions such as the classical and conformal capacities. In terms of this general capacity, as in the case of the classical capacity, the concept of capacitive type of Riemannian manifold is defined. In this paper, we present some integral criteria of the capacitive type of a non-compact Riemannian manifold, which complement and, in certain cases, strengthen the known criteria of the classical capacitive type of a Riemannian manifold.

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非紧黎曼流形电容型的若干判据

摘要考虑了黎曼流形上的积分容量的一个相当普遍的概念，其中包括几何函数理论中已知的容量概念，如经典容量和保形容量。根据这种一般容量，如同在经典容量的情况下，定义了黎曼流形电容型的概念。本文给出了非紧黎曼流形电容型的一些积分判据，它们补充并在某些情况下加强了黎曼流形经典电容型判据的已知判据。

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

Moscow University Mathematics Bulletin MATHEMATICS-

CiteScore

0.60

自引率

25.00%

发文量

期刊介绍： Moscow University Mathematics Bulletin is the journal of scientific publications reflecting the most important areas of mathematical studies at Lomonosov Moscow State University. The journal covers research in theory of functions, functional analysis, algebra, geometry, topology, ordinary and partial differential equations, probability theory, stochastic processes, mathematical statistics, optimal control, number theory, mathematical logic, theory of algorithms, discrete mathematics and computational mathematics.