- Journal of Universal Mathematics
- Volume:2 Issue:2
- ON WEAK BIHARMONIC GENERALIZED ROTATIONAL SURFACE IN E⁴
ON WEAK BIHARMONIC GENERALIZED ROTATIONAL SURFACE IN E⁴
Authors : Kadri ARSLAN, Merve HARMANLI, Betül BULCA
Pages : 166-174
Doi:10.33773/jum.565267
View : 17 | Download : 11
Publication Date : 2019-07-29
Article Type : Research Paper
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