Some Results and Characterizations for Mannheim Offsets of the Ruled Surfaces

Details Some Results and Characterizations for Mannheim Offsets of the Ruled Surfaces Some Results and Characterizations for Mannheim Offsets of the Ruled Surfaces

2010-05-14

arxiv.org/abs/1005.2570v3

Mathematics

Differential Geometry

12 pages

Scientific paper

In this study, we give the dual characterizations of Mannheim offsets of the
ruled surface in terms of their integral invariants and the new
characterization of the Mannheim offsets of developable surface. 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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