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2023•International Electronic Journal of GeometryOpen access

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

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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.

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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.

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Available 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.

Key concepts: Gauss map, Pointwise, Gauss, Minkowski space, Surface (topology), Type (biology), Mathematics, Mathematical analysis

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