Some Results and Characterizations for Mannheim Offsets of the Ruled Surfaces
@inproceedings{Onder2010SomeRA, title={Some Results and Characterizations for Mannheim Offsets of the Ruled Surfaces}, author={Mehmet Onder and H. Huseyin Uugurlu}, year={2010} }
abstract: In this study, we give dual characterizations for Mannheim offsets of ruled surfaces in terms of their integral invariants and obtain a new characterization for the Mannheim offsets of a developable surface, i.e., we show that the striction lines of developable Mannheim offset surfaces are Mannheim partner curves. Furthermore, we obtain the relationships between the area of projections of spherical images for Mannheim offsets of ruled surfaces and their integral invariants.
3 Citations
Integral Invariants Of Mannheim Offsets Of Ruled Surfaces
- Mathematics
- 2016
In this study, we identify the instantaneous Pfaffi an vector of the closed motion defined along the striction curve of the ruled surface φ∗ which is a Mannheim offset of closed ruled surface φ in E.…
Studying on a skew ruled surface by using the geodesic Frenet trihedron of its generator
- Mathematics
- 2016
In this article, we study skew ruled surfaces by using the geodesic Frenet trihedron of its generator. We obtained some conditions on this surface to ensure that this ruled surface is flat, II-flat,…
Dual Darboux Frame of a Spacelike Ruled Surface and Darboux Approach to Mannheim Offsets of Spacelike Ruled Surfaces
- Mathematics
- 2012
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…
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