SOME CHARACTERIZATIONS FOR THE EXISTINCE OF BERTRAND CURVES IN DUAL SPACE

In differential geometry, the characterizations of curves and corresponding relations between the curves are an important problem. Bertrand curves can be given as example of that relation. A Bertrand curve in is a curve such that its principal normal vectors are the principal normal vectors of an other curve. Aminov proved that a Bertrand curve does not exist in if n 4. Kim, Park and Yorozu provided some examples illustrating the resultant curves. In this study, generally, we proved and expressed that Bertrand curves are absent in , but we expressed that Bertrand curves can be found under some characterizations and special conditions in