Bumpy Metrics Theorem for Geodesic Nets

IF 0.5 3区数学 Q3 MATHEMATICS

Journal of Topology and Analysis Pub Date : 2023-11-10 DOI:10.1142/s1793525323500425

Bruno Staffa

引用次数: 1

Abstract

Stationary geodesic networks are the analogs of closed geodesics whose domain is a graph instead of a circle. We prove that for a generic Riemannian metric on a smooth manifold $M$ regular stationary geodesic nets are non-degenerate.

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测地线网的凹凸度量定理

静止测地线网络是封闭测地线的类似物，其域是图而不是圆。证明了光滑流形上的一般黎曼度量$M$正则平稳测地线网是不退化的。

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

Journal of Topology and Analysis MATHEMATICS-

CiteScore

1.50

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： This journal is devoted to topology and analysis, broadly defined to include, for instance, differential geometry, geometric topology, geometric analysis, geometric group theory, index theory, noncommutative geometry, and aspects of probability on discrete structures, and geometry of Banach spaces. We welcome all excellent papers that have a geometric and/or analytic flavor that fosters the interactions between these fields. Papers published in this journal should break new ground or represent definitive progress on problems of current interest. On rare occasion, we will also accept survey papers.