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Closed generalized Mazurkiewicz sets are curves

✍ Scribed by L.D. Lovelan; S.M. Lovelan


Book ID
104188190
Publisher
Elsevier Science
Year
1995
Tongue
English
Weight
641 KB
Volume
61
Category
Article
ISSN
0166-8641

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Closed generalized elastic curves in S2(
✍ J. Arroyo; O.J. Garay; J.J. Mencı́a πŸ“‚ Article πŸ“… 2003 πŸ› Elsevier Science 🌐 English βš– 334 KB

We study the existence and stability of (closed) curves in S 2 (1) which are critical points of generic curvature energy functionals. Firstly, we compute the first and second variation formulas and obtain first integrals of the Euler-Lagrange equations, then we establish conditions under which criti