On the Developable Mannheim Offsets of Timelike Ruled Surfaces

Onder, Mehmet; UĞURLU, HASAN

doi:10.1007/s40010-014-0162-4

On the Developable Mannheim Offsets of Timelike Ruled Surfaces

PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES INDIA SECTION A-PHYSICAL SCIENCES, cilt.84, sa.4, ss.541-548, 2014 (SCI-Expanded)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 84 Sayı: 4
Basım Tarihi: 2014
Doi Numarası: 10.1007/s40010-014-0162-4
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.541-548
Gazi Üniversitesi Adresli: Evet

Özet

In this paper, using the classifications of timelike and spacelike ruled surfaces, we study the Mannheim offsets of timelike ruled surfaces in the Minkowski 3-space. First, we define the Mannheim offsets of a timelike ruled surface by considering the Lorentzian casual character of the offset surface. We obtain that the Lorentzian casual character of the Mannheim offset of a timelike ruled surface may be timelike or spacelike. Furthermore, we give characterizations for developable Mannheim offsets of a timelike ruled surface.