Evolutions of the Ruled Surfaces along a Spacelike Space Curve

UĞUR KAYMANLI G., EKİCİ C.

PUNJAB UNIVERSITY JOURNAL OF MATHEMATICS, cilt.54, sa.4, ss.221-232, 2022 (ESCI) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 54 Sayı: 4
  • Basım Tarihi: 2022
  • Doi Numarası: 10.52280/pujm.2022.540401
  • Dergi Adı: PUNJAB UNIVERSITY JOURNAL OF MATHEMATICS
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI)
  • Sayfa Sayıları: ss.221-232
  • Anahtar Kelimeler: Evolution surface, Minkowski space, quasi frame, Ruled surface
  • Eskişehir Osmangazi Üniversitesi Adresli: Evet

Özet

In this paper, we work on the ruled surfaces obtained by a quasi normal and quasi binormal vectors along a spacelike space curve in three dimensional Minkowski space. Time evolution equations depending on quasi curvatures are obtained. Studying directional evolutions of both quasi normal and quasi binormal ruled surfaces by using their directrices, we investigate some geometric properties such as inextensibilty, developability, flatness and minimality of these ruled surfaces.