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According to a classical result of Whitney and Grauestein, the total curvature of plane curves is, under suitable boundary conditions, an invariant in the homotopy class of the curve. Even more, each homotopy class of curves, satisfying suitable boundary conditions, is completely characterized by the common total curvature.

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Lancret Helices in Homogeneous 3-Spaces

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  • 发表日期：

    2025年

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  • Angel Ferrandez Izquierdo

摘要

According to a classical result of Whitney and Grauestein, the total curvature of plane curves is, under suitable boundary conditions, an invariant in the homotopy class of the curve. Even more, each homotopy class of curves, satisfying suitable boundary conditions, is completely characterized by the common total curvature.