On the invariants of Mannheim offsets of timelike ruled surfaces with spacelike rulings

Önder M., SAYAN H. H.

Asian-European Journal of Mathematics, cilt.8, sa.1, 2015 (Scopus) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 8 Sayı: 1
  • Basım Tarihi: 2015
  • Doi Numarası: 10.1142/s1793557115500096
  • Dergi Adı: Asian-European Journal of Mathematics
  • Derginin Tarandığı İndeksler: Scopus
  • Anahtar Kelimeler: Timelike ruled surface, Mannheim offset, integral invariants, dual Lorentzian space
  • Manisa Celal Bayar Üniversitesi Adresli: Evet

Özet

In this paper, we give the characterizations for Mannheim offsets of timelike ruled surfaces with spacelike rulings in dual Lorentzian space D13. We obtain the relations between terms of their integral invariants and also we give new characterization for the Mannheim offsets of developable timelike ruled surface. Moreover, we find relations between the area of projections of spherical images for Mannheim offsets of timelike ruled surfaces and their integral invariants.