Milousheva, Velichka2022-08-222022-08-222014-05Arslan, K. vd. (2014). "Meridian surfaces in E4 with pointwise 1-type Gauss map". Bulletin of the Korean Mathematical Society, 51(3), 911-922.1015-8634https://doi.org/10.4134/BKMS.2014.51.3.911https://bkms.kms.or.kr/journal/view.html?doi=10.4134/BKMS.2014.51.3.911http://hdl.handle.net/11452/28288In the present article we study a special class of surfaces in the four-dimensional Euclidean space, which are one-parameter systems of meridians of the standard rotational hypersurface. They are called meridian surfaces. We show that a meridian surface has a harmonic Gauss map if and only if it is part of a plane. Further, we give necessary and sufficient conditions for a meridian surface to have pointwise 1-type Gauss map and find all meridian surfaces with pointwise 1-type Gauss map.eninfo:eu-repo/semantics/openAccessMeridian surfacesGauss mapFinite type immersionsPointwise 1-type Gauss mapRuled surfacesMathematicsArticle0003368693000232-s2.0-84901608561911922513MathematicsGauss Map; Hypersurface; Ruled Surface