Some Results and Characterizations for Mannheim Offsets of the Ruled Surfaces

  title={Some Results and Characterizations for Mannheim Offsets of the Ruled Surfaces},
  author={Mehmet Onder and H. Huseyin Uugurlu},
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. 

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