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<p>In Minkowski 3-space, we construct a surfaces family interpolating the involute of a spacelike curve as a common line of curvature, geodesic or asymptotic curve. Moreover, the conditions are examined for the ruled surface to be developable. And we support our conclusion with some examples.</p>

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Surface family with a common involute of a spacelike curve in Minkowski 3-space

  • 期刊论文

  • 发表日期：

    2026年3月1日

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  • Ting Shen,
  • Ping Jiang,
  • Jun Wang,
  • Da-li Kong,
  • Bei-bei Sun

摘要

In Minkowski 3-space, we construct a surfaces family interpolating the involute of a spacelike curve as a common line of curvature, geodesic or asymptotic curve. Moreover, the conditions are examined for the ruled surface to be developable. And we support our conclusion with some examples.