On the Developable Mannheim Offsets of Timelike Ruled Surfaces

2009/06/11 by Mehmet Önder, Onder, Mehmet, H. Hüseyin Uğurlu +1 · 2 citations
Mathematics · Physics and Astronomy · #53A10 #53B25 #53C50 #Advanced Differential Geometry Research #Differential Geometry (math.DG) #FOS: Mathematics #FOS: Physical sciences #Geometric Analysis and Curvature Flows #Mathematical Physics (math-ph) #Point processes and geometric inequalities

paper · pdf · doi:10.48550/arxiv.0906.2077

openalex publication_date 2009/06/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, using the classifications of timelike and spacelike ruled surfaces, we study the Mannheim offsets of timelike ruled surfaces in Minkowski 3-space. Firstly, we define the Mannheim offsets of a timelike ruled surface by considering the Lorentzian casual character of the offset surface. We obtain that the Mannheim offsets of a timelike ruled surface may be timelike or spacelike. Furthermore, we characterize the developable of Mannheim offset of a timelike ruled surface by the derivative of the conical curvature of the directing cone.

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• On dual timelike - spacelike Mannheim partner curves in ID3 1
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