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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