ON WEAK BIHARMONIC GENERALIZED ROTATIONAL SURFACE IN E⁴

Year 2019, , 166 - 174, 29.07.2019

Kadri Arslan , Merve Harmanlı Betül Bulca

https://doi.org/10.33773/jum.565267

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

References

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