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FLAT ROTATIONAL SURFACES WITH POINTWISE 1-TYPE GAUSS MAP IN E<sup>4</sup>
Aksoyak, Ferdag Kahraman,Yayli, Yusuf The Honam Mathematical Society 2016 호남수학학술지 Vol.38 No.2
In this paper we study general rotational surfaces in the 4-dimensional Euclidean space $\mathbb{E}^4$ and give a characterization of flat general rotational surface with pointwise 1-type Gauss map. Also, we show that a flat general rotational surface with pointwise 1-type Gauss map is a Lie group if and only if it is a Clifford torus.
FLAT ROTATIONAL SURFACES WITH POINTWISE 1-TYPE GAUSS MAP IN E4
( Ferdag Kahraman Aksoyak ),( Yusuf Yayli ) 호남수학회 2016 호남수학학술지 Vol.38 No.2
In this paper we study general rotational surfaces in the 4- dimensional Euclidean space E4 and give a characterization of fiat general rotational surface with pointwise 1-type Gauss map. Also, we show that a flat general rotational surface with pointwise 1-type Gauss map is a Lie group if and only if it is a Clifford torus.
BOOST INVARIANT SURFACES WITH POINTWISE 1-TYPE GAUSS MAP IN MINKOWSKI 4-SPACE E4 1
Ferdag Kahraman Aksoyak,Yusuf Yayli 대한수학회 2014 대한수학회보 Vol.51 No.6
In this paper, we study spacelike rotational surfaces which are called boost invariant surfaces in Minkowski 4-space E41 . We give necessary and sufficient condition for flat spacelike rotational surface to have pointwise 1-type Gauss map. Also, we obtain a characterization for boost invariant marginally trapped surface with pointwise 1-type Gauss map.
Aksoyak, Ferdag Kahraman,Yayli, Yusuf Korean Mathematical Society 2014 대한수학회보 Vol.51 No.6
In this paper, we study spacelike rotational surfaces which are called boost invariant surfaces in Minkowski 4-space $\mathbb{E}^4_1$. We give necessary and sufficient condition for flat spacelike rotational surface to have pointwise 1-type Gauss map. Also, we obtain a characterization for boost invariant marginally trapped surface with pointwise 1-type Gauss map.