Geodesic
Space curve evolution, geometric phase and solitons
Teoretičeskaâ i matematičeskaâ fizika, Tome 99 (1994) no. 2, pp. 172-176

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Certain moving space curves are endowed with a geometric phase. This phase arises due to the path dependence of the rotation of an orthonormal triad (frame) defined at every point on the curve. In the present work we use the connection between moving curves and soliton dynamics to find the geometric phase associated with a class of soliton-supporting equations. 
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     author = {Radha Balakrishnan},
     title = {Space curve evolution, geometric phase and solitons},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {172--176},
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     volume = {99},
     number = {2},
     year = {1994},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/TMF_1994_99_2_a1/}
}
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Radha Balakrishnan. Space curve evolution, geometric phase and solitons. Teoretičeskaâ i matematičeskaâ fizika, Tome 99 (1994) no. 2, pp. 172-176. http://geodesic.mathdoc.fr/item/TMF_1994_99_2_a1/