ON THE PARALLEL SURFACES IN GALILEAN SPACE

Dede M., EKİCİ C., Coken A. C.

HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, cilt.42, sa.6, ss.605-615, 2013 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 42 Sayı: 6
  • Basım Tarihi: 2013
  • Dergi Adı: HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, TR DİZİN (ULAKBİM)
  • Sayfa Sayıları: ss.605-615
  • Anahtar Kelimeler: Parallel surfaces, Surface curvature, Galilean space
  • Akdeniz Üniversitesi Adresli: Hayır

Özet

In this paper, first of all, the definition of parallel surfaces in Galilean space is given. Then, the relationship between the curvatures of the parallel surfaces in Galilean space is determined. Moreover, the first and second fundamental forms of parallel surfaces are found in Galilean space. Consequently, we obtained Gauss curvature and mean curvature of parallel surface in terms of those curvatures of the base surface.