Parallel curves in Minkowski 3-space

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Yüksel N., Saltık B., Damar E.

Gumushane University Journal of Science, cilt.12, sa.2, ss.480-486, 2022 (TRDizin)

• Yayın Türü: Makale / Tam Makale
• Cilt numarası: 12 Sayı: 2
• Basım Tarihi: 2022
• Doi Numarası: 10.17714/gumusfenbil.855265
• Dergi Adı: Gumushane University Journal of Science
• Derginin Tarandığı İndeksler: TR DİZİN (ULAKBİM)
• Sayfa Sayıları: ss.480-486
• Erciyes Üniversitesi Adresli: Evet

Özet

For a curve  on the plane, there exists the curve  at a fixed distance r (except for some degenerate cases). The curve

 can be alternatively produced as an envelope of circles with the radius r moving along the curve  . As a result,

when this structure is translated to three-dimensional space two parallel curves are obtained. In this study defining some

time-like parallel curves on 3-dimensional Minkowski space, some important theorems about these are stated and proved.