Legendre curves and the singularities of ruled surfaces obtained by using rotation minimizing frame

• Datum: 2021
• Hauptverfasser: Bekar, M., Hathout , F., Yayli , Y.
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2021
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/895
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

UDC 514.7 In this paper, Legendre curves in unit tangent bundle are given using rotation minimizing vector fields. Ruled surfaces corresponding to these curves are represented. Singularities of these ruled surfaces are also analyzed and classified.