An Investigation of Timelike Aminov Surface with respect to its Gauss Map in Minkowski Space-time

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International Electronic Journal of Geometry
Volume:16 Issue:1
An Investigation of Timelike Aminov Surface with respect to its Gauss Map in Minkowski Space-time

An Investigation of Timelike Aminov Surface with respect to its Gauss Map in Minkowski Space-time

Pages : 171-180

View : 65 | Download : 7

Publication Date : 2023-04-30

Article Type : Research Paper

Abstract :In this work, we handle timelike Aminov surfaces in E_1^4 with respect to having pointwise one type Gauss map. Firstly, we get the laplace of Gauss map of this type of surface. Then, we obtain that there is no timelike Aminov surface having harmonic Gauss map and also pointwise one type Gauss map of first kind in Minkowski 4-space. Further, we yield the conditions of having pointwise one type Gauss map of second kind.
Keywords : Aminov surface, Gauss map, Minkowski 4 space

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