MERIDIAN SURFACES IN 𝔼4 WITH POINTWISE 1-TYPE GAUSS MAP

Title & Authors
MERIDIAN SURFACES IN 𝔼4 WITH POINTWISE 1-TYPE GAUSS MAP
Arslan, Kadri; Bulca, Betul; Milousheva, Velichka;

Abstract
In 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.
Keywords
Meridian surfaces;Gauss map;finite type immersions;pointwise 1-type Gauss map;
Language
English
Cited by
1.
SURFACES OF REVOLUTION WITH POINTWISE 1-TYPE GAUSS MAP IN PSEUDO-GALILEAN SPACE,;;

대한수학회보, 2016. vol.53. 2, pp.519-530
1.
Meridian Surfaces with Constant Mean Curvature in Pseudo-Euclidean 4-Space with Neutral Metric, Mediterranean Journal of Mathematics, 2017, 14, 2
2.
A New Class of Time-Meridian Surfaces of Biharmonic − Particles and its Lorentz Transformation in Heisenberg Spacetime, International Journal of Theoretical Physics, 2015, 54, 10, 3811
3.
SURFACES OF REVOLUTION WITH POINTWISE 1-TYPE GAUSS MAP IN PSEUDO-GALILEAN SPACE, Bulletin of the Korean Mathematical Society, 2016, 53, 2, 519
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