Journal
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
Volume 457, Issue 2, Pages 1333-1352Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jmaa.2017.04.011
Keywords
Self-contracted curve; Self-expanded curve; Rectifiable curve; Length; Secant; Riemannian manifold
Categories
Funding
- MINECO of Spain [MTM2014-59179-C2-1-P, MTM2015-65825-P]
- ERDF of EU
- ETSI Industriales, UNED [2017-MAT12]
- [BASAL PFB-03]
- [FONDECYT 1130176]
- [ECOS-CONICYT C14E06]
- [REDES/CONICYT 150040]
- [ECOS-SUD C14E06]
- [REDES/CONICYT-150040]
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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.
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