On the kinematic interpretation of timelike ruled surfaces

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Önder M., Ekinci Z.

International Journal of Geometric Methods in Modern Physics, vol.12, no.10, 2015 (SCI-Expanded, Scopus)

• Publication Type: Article / Article
• Volume: 12 Issue: 10
• Publication Date: 2015
• Doi Number: 10.1142/s0219887815501273
• Journal Name: International Journal of Geometric Methods in Modern Physics
• Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
• Keywords: Timelike ruled surface, E. Study Mapping, Blaschke frame
• Manisa Celal Bayar University Affiliated: Yes

Abstract

Timelike ruled surfaces are studied in dual Lorentzian space D-13 by considering E. Study Mapping and Blaschke frame. A reference timelike ruled surface is considered and associated surfaces are defined. First, it is shown that the surface generated by the instantaneous screw axis (ISA) is a Mannheim offset of reference surface. Later, the kinematic interpretations between these surfaces are introduced by means of Blaschke invariants.