Inextensible flows of biharmonic <italic>S</italic>-curves according to Sabban frame in Heisenberg group Heis3.

In this work, we examine inextensible flows associated biharmonic curves depending to Sabban frame in Heis3. We define the biharmonic curves with regards to their curvatures. The differential equations characterizing biharmonic curves are given in Heis3. Additionaly, we discover equations of one parameter family of biharmonic curves in <inline-graphic></inline-graphic>. [ABSTRACT FROM AUTHOR]