On the Developable Mannheim Offsets of Timelike Ruled Surfaces

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Önder M., UĞURLU H. H.

Proceedings of the National Academy of Sciences India Section A - Physical Sciences, vol.84, no.4, pp.541-548, 2014 (SCI-Expanded, Scopus)

• Publication Type: Article / Article
• Volume: 84 Issue: 4
• Publication Date: 2014
• Doi Number: 10.1007/s40010-014-0162-4
• Journal Name: Proceedings of the National Academy of Sciences India Section A - Physical Sciences
• Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
• Page Numbers: pp.541-548
• Keywords: Mannheim offset, Minkowski 3-space, Timelike ruled surface
• Open Archive Collection: AVESIS Open Access Collection
• Manisa Celal Bayar University Affiliated: Yes

Abstract

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.