Bertrand and Mannheim Partner -curves on Parallel Surfaces
Kızıltuğ, Sezai
Boletim da Sociedade Paranaense de Matemática, Tome 35 (2016), / Harvested from Portal de Periódicos da UEM
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In this paper we study Bertrand and Mannheim partner -curves on parallel surface. Using the definition of parallel surfaces, first we find images of two curves lying on two different surfaces and satisfying the conditions to be Bertrand partner -curve or Mannheim partner -curve. Then we obtain relationships between Bertrand and Mannheim partner -curves and their image curves. 

Publié le : 2016-01-01
DOI : https://doi.org/10.5269/bspm.v35i2.24309 
@article{24309,
     title = {Bertrand and Mannheim Partner  -curves on Parallel Surfaces},
     journal = {Boletim da Sociedade Paranaense de Matem\'atica},
     volume = {35},
     year = {2016},
     doi = {10.5269/bspm.v35i2.24309},
     language = {EN},
     url = {http://dml.mathdoc.fr/item/24309}
}

Kızıltuğ, Sezai. Bertrand and Mannheim Partner  -curves on Parallel Surfaces. Boletim da Sociedade Paranaense de Matemática, Tome 35 (2016) . doi : 10.5269/bspm.v35i2.24309. http://gdmltest.u-ga.fr/item/24309/