Time-Like Constant Slope Surfaces and Space-Like Bertrand Curves in Minkowski 3-Space

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BABAARSLAN M., YAYLI Y.

PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES INDIA SECTION A-PHYSICAL SCIENCES, cilt.84, sa.4, ss.535-540, 2014 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 84 Sayı: 4
  • Basım Tarihi: 2014
  • Doi Numarası: 10.1007/s40010-014-0160-6
  • Dergi Adı: PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES INDIA SECTION A-PHYSICAL SCIENCES
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.535-540
  • Anahtar Kelimeler: Bertrand curve, de Sitter Darboux image, Helix, Lorentzian Sabban frame, de Sitter evolute, Time-like constant slope surface, de Sitter 2-space
  • Ankara Üniversitesi Adresli: Evet

Özet

Defining Lorentzian Sabban frame of the unit speed time-like curves on de Sitter 2-space and introducing space-like height function on the unit speed time-like curves on the invariants of the unit speed time-like curves on and geometric properties of de Sitter evolutes of the unit speed time-like curves on are studied. A relation between space-like Bertrand curves and helices is obtained. De Sitter Darboux images of space-like Bertrand curves are equal to de Sitter evolutes. The relations between time-like constant slope surfaces lying in the space-like cone and space-like Bertrand curves in Minkowski 3-space are obtained.