THE DIFFERENTIAL GEOMETRY OF REGULAR CURVES ON A REGULAR TIME-LIKE SURFACE

Ozyilmaz E., Yayli Y.

DYNAMIC SYSTEMS AND APPLICATIONS, cilt.24, sa.3, ss.349-360, 2015 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 24 Sayı: 3
  • Basım Tarihi: 2015
  • Dergi Adı: DYNAMIC SYSTEMS AND APPLICATIONS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.349-360
  • Ankara Üniversitesi Adresli: Evet

Özet

In this study, we consider time-like regular surface in Minkawski space as y = y(u, v) and investigate Darboux vectors of the time-like curves on time-like surface as (c), (c(1)) and (c(2)) which are not intersect perpendicularly. Moreover, we give a relation between the Darboux vectors of these Darboux frames. By this relation we obtain general Liouville formula and general form Euler and O. Bonnet.