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An alternative moving frame for a tubular surface around a spacelike curve with a spacelike normal in Minkowski 3-space

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Abstract

We describe a robust method for constructing a tubular surface surrounding a spacelike curve with a spacelike principal normal in Minkowski 3-Space. Our method is designed to eliminate undesirable twists and wrinkles in the tubular surface’s skin at points where the curve experiences high torsion. In our construction the tubular surface’s twist is bounded by the spacelike curve’s curvature and is independent of the spacelike curve’s torsion.

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References

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Authors and Affiliations

  1. Faculty of Sciences and Arts, Department of Mathematics, Usak University, 1 Eylul Campus, 64200, Usak, Turkey

    Murat Kemal Karacan

  2. Faculty of Sciences and Letters Department of Mathematics, Gazi Osman Pasa University, Tokat, Turkey

    Bahaddin Bukcu

Authors
  1. Murat Kemal Karacan
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  2. Bahaddin Bukcu
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Correspondence to Murat Kemal Karacan.

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Karacan, M.K., Bukcu, B. An alternative moving frame for a tubular surface around a spacelike curve with a spacelike normal in Minkowski 3-space. Rend. Circ. Mat. Palermo 57, 193–201 (2008). https://doi.org/10.1007/s12215-008-0013-8

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  • DOI: https://doi.org/10.1007/s12215-008-0013-8

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