http://chineseinput.net/에서 pinyin(병음)방식으로 중국어를 변환할 수 있습니다.
변환된 중국어를 복사하여 사용하시면 됩니다.
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.
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.
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.
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.
HOMOTHETIC MOTIONS WITH GENERALIZED TRICOMPLEX NUMBERS
( Siddika Özkaldi Karakuş ),( Ferdağ Kahraman Aksoyak ),( Gülşah Özaydin ) 호남수학회 2024 호남수학학술지 Vol.46 No.1
In this paper, we define the generalized tricomplex numbers and give some algebraic properties of them. By using the matrix representation of generalized tricomplex numbers, we determine a motion on the hypersurface M in eight dimensional generalized linear space ℝ<sup>8</sup><sub>α</sub><sub>βγ</sub> and show that this is a homothetic motion. Also, for some special cases of the real numbers α, β and γ, we give some examples of homothetic motions in ℝ<sup>8</sup> and ℝ<sup>8</sup><sub>4</sub> and obtain some rotational matrices in these spaces, too.