Meridian Surfaces of Elliptic or Hyperbolic Type with
            Pointwise $1$-type Gauss Map in Minkowski $4$-space

Arslan, Kadri; Milousheva, Velichka

doi:10.11650/tjm.20.2016.5722

Cited by 24 publications

(28 citation statements)

References 12 publications

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“…Using characteristic polynomial P S (λ ) = aλ 3 + bλ 2 + cλ + d = 0, i.e. P S (λ ) = det(S − λ I 3 ) = 0, we obtain curvature formulas C 0 = 1 (by definition), 3 1 3 2 C 2 = c a , 3 3 C 3 = K = − d a . Therefore, we get curvature folmulas depends on the coefficients of I and II fundamental forms in 4-space (It also can get depends on the coefficients of II and III, or III and IV ):…”

Section: Curvatures and The Fourth Fundamental Formmentioning

confidence: 99%

Fundamental form $IV$ and curvature formulas of the hypersphere

Güler¹

2020

Malaya J. Mat

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Section: Curvatures and The Fourth Fundamental Formmentioning

confidence: 99%

Fundamental form $IV$ and curvature formulas of the hypersphere

Güler¹

2020

Malaya J. Mat

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“…Surfaces satisfying (1.2) have been the subject of many studies such as [1,15,16,17,21,22,26,27]. In recent years, authors deal with the meridian surfaces with pointwise 1-type Gauss map in some spaces in [2,3].…”

Section: (12)mentioning

confidence: 99%

Tubular Surface Having Pointwise 1-type Gauss Map in Euclidean 4-Space

Kişi¹,

Öztürk²

2019

International Electronic Journal of Geometry

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“…Moreover, there are many studies about the rotational surfaces in the pseudoEuclidean space and different spaces with pointwise 1-type Gauss map, [3,11,18].…”

Section: Introductionmentioning

confidence: 99%

On Pseudo-Umbilical Rotational Surfaces with Pointwise 1-type Gauss Map in $\mathbb{E}^4_2$

Canfes¹,

Dursun²,

Bektaş³

2017

Proceedings Book of International Workshop on Theory of Submanifolds

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Abstract. In this work, we study two families of rotational surfaces in the pseudo-Euclidean space E 4 2 with profile curves lying in 2-dimensional planes. First, we obtain a classification of pseudo-umbilical spacelike surfaces and timelike surfaces in these families. Then, we show that in this classification there exists no a pseudo-umbilical rotational surface in E 4 2 with pointwise 1-type Gauss map of second kind. Finally, we determine such pseudo-umbilical rotational surfaces in E 4 2 having pointwise 1-type Gauss map of first kind.

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Meridian Surfaces of Elliptic or Hyperbolic Type with Pointwise $1$-type Gauss Map in Minkowski $4$-space

Cited by 24 publications

References 12 publications

Fundamental form $IV$ and curvature formulas of the hypersphere

Fundamental form $IV$ and curvature formulas of the hypersphere

Tubular Surface Having Pointwise 1-type Gauss Map in Euclidean 4-Space

On Pseudo-Umbilical Rotational Surfaces with Pointwise 1-type Gauss Map in $\mathbb{E}^4_2$

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