Self-contracted curves in Riemannian manifolds

被引：17

|

作者：

Daniilidis, Aris ^{[1
]}

Deville, Robert ^{[2
]}

Durand-Cartagena, Estibalitz ^{[3
]}

Rifford, Ludovic ^{[4
,5
]}

机构：

[1] Univ Chile, UMI CNRS 2807, DIM CMM, Beauchef 581,Torre Norte,Piso 5, Santiago 8370456, Chile

[2] Univ Bordeaux 1, Inst Math Bordeaux, Lab Bordelais Anal & Geometrie, 351 Cours Liberat, F-33405 Talence, France

[3] UNED, ETSI Ind, Dept Matemat Aplicada, Juan del Rosal 12,Ciudad Univ, Madrid 28040, Spain

[4] Univ Chile, UMI CNRS 2807, CMM, Blanco Encalada 2120, Santiago, Chile

[5] Univ Nice Sophia Antipolis, UMR CNRS 7351, Lab JA Dieudonne, Parc Valrose, F-06108 Nice 2, France

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2018年 / 457卷 / 02期

关键词：

Self-contracted curve; Self-expanded curve; Rectifiable curve; Length; Secant; Riemannian manifold; STEEPEST DESCENT CURVES; CONVEX-FUNCTIONS;

D O I：

10.1016/j.jmaa.2017.04.011

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

It is established that every self-contracted curve in a Riemannian manifold has finite length, provided its image is contained in a compact set. (C) 2017 Elsevier Inc. All rights reserved.

引用

收藏

页码：1333 / 1352

页数：20

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