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Elastic curves and the Delaunay problem for curves with constant torsion

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Abstract

In this paper we investigate the critical points of the Delaunay functional for curves with constant torsion. We give an explicit description of the extrema in terms of Jacobi's elliptic functions.

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Authors and Affiliations

  1. Dipartimento di Matematica Pura ed Applicata, Università dell'Aquila Via Vetoio, 67100, L'Aquila, (Italy)

    Emilio Musso

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  1. Emilio Musso
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Partially supported by MURST project “proprietà geometriche delle varietà reali e complesse” and by GNSAGA.

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Musso, E. Elastic curves and the Delaunay problem for curves with constant torsion. Rend. Circ. Mat. Palermo 50, 285–298 (2001). https://doi.org/10.1007/BF02844983

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  • DOI: https://doi.org/10.1007/BF02844983

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