2012/01/30 by Mehmet Önder, Önder, Mehmet, H. Hüseyin Uğurlu +1
Mathematics · Medicine · Physics and Astronomy · #53A25 #53C40 #53C50 #Advanced Differential Geometry Research #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Ophthalmology and Eye Disorders
paper · pdf · doi:10.48550/arxiv.1201.6148
openalex publication_date 2012/01/30 · openalex created_date 2022/10/01 · openalex updated_date 2026/07/28
In this paper, we define dual geodesic trihedron(dual Darboux frame) of a spacelike ruled surface. Then, we study Mannheim offsets of spacelike ruled surfaces in dual Lorentzian space by considering the E. Study Mapping. We represent spacelike ruled surfaces by dual Lorentzian unit spherical curves and define Mannheim offsets of the spacelike ruled surfaces by means of dual Darboux frame. We obtain relationships between the invariants of Mannheim spacelike offset surfaces and offset angle, offset distance. Furthermore, we give conditions for these surface offsets to be developable.