Geodesic
Dual spherical elastica
Filomat, Tome 37 (2023) no. 8, p. 2483

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DOI

The solutions of the dual bending energy functional on the dual unit sphere S 2 ⊂ D 3 are investigated. Dual spherical elastica is characterized by the dual Euler-Lagrange equation by using techniques of calculus of variation. The real and dual parts of the dual Euler-Lagrange differential equation are solved by different methods. Dual spherical elastica is shown to correspond to the elastic strip constituted by planar elastica in R 3 .
DOI : 10.2298/FIL2308483Y
Classification : 53A04, 53A35
Keywords: Dual spherical elastica, dual geodesic curvature, dual unit sphere, elastic strip, dual Euler-Lagrange equation 
Ahmet Yücesan; Gözde ;  Özkan Tükel. Dual spherical elastica. Filomat, Tome 37 (2023) no. 8, p. 2483 . doi: 10.2298/FIL2308483Y
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     title = {Dual spherical elastica},
     journal = {Filomat},
     pages = {2483 },
     year = {2023},
     volume = {37},
     number = {8},
     doi = {10.2298/FIL2308483Y},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2308483Y/}
}
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