ON WEAK BIHARMONIC GENERALIZED ROTATIONAL SURFACE IN E⁴

Authors : Kadri Arslan, Merve Harmanli, Betül Bulca

Pages : 166-174

Doi:10.33773/jum.565267

View : 15 | Download : 6

Publication Date : 2019-07-29

Article Type : Research

Abstract :In the present paper we consider weak biharmonic rotational surfaces in Euclidean 4-space E⁴. We have proved that the general rotational surface of parallel mean curvature vector field is weak biharmonic then either it is minimal or a constant mean curvature. Further, we show that if Vranceanu surface of constant mean curvature is weak-biharmonic then it is a Clifford torus in E⁴.
Keywords : Biharmonic, Rotational surface