In this study, we give the dual characterizations of Mannheim offsets of ruled surfaces in terms of their integral invariants and obtain a new characterization of the Mannheim offsets of 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.
@article{24756,
title = {Some results and characterizations for Mannheim offsets of the ruled surfaces},
journal = {Boletim da Sociedade Paranaense de Matem\'atica},
volume = {34},
year = {2015},
doi = {10.5269/bspm.v34i1.24756},
language = {EN},
url = {http://dml.mathdoc.fr/item/24756}
}
Önder, Mehmet; Uğurlu, H. Hüseyin. Some results and characterizations for Mannheim offsets of the ruled surfaces. Boletim da Sociedade Paranaense de Matemática, Tome 34 (2015) . doi : 10.5269/bspm.v34i1.24756. http://gdmltest.u-ga.fr/item/24756/