Flat rotational surfaces with pointwise 1-type Gauss map via generalized quaternions

DOI10.1007/s40010-018-0565-8zbMath1456.53016OpenAlexW2903613512WikidataQ125271316 ScholiaQ125271316MaRDI QIDQ828413

Yusuf Yayli, Ferdağ Kahraman Aksoyak

Publication date: 8 January 2021

Published in: Proceedings of the National Academy of Sciences, India. Section A. Physical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40010-018-0565-8

zbMATH Keywords

Gauss mappointwise 1-type Gauss maprotational surfacegeneralized quaternionsfour-dimensional generalized Euclidean space

Mathematics Subject Classification ID

Hyper-Kähler and quaternionic Kähler geometry, ``special geometry (53C26) Local submanifolds (53B25) Other special differential geometries (53A40)

Related Items (2)

Differential Geometry of 1-type Submanifolds and Submanifolds with 1-type Gauss Map ⋮ General rotational surfaces satisfying \(\triangle x^T=\varphi x^T\)

Cites Work

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• Vranceanu surface in \(\mathbb{E}^4\) with pointwise 1- type Gauss map
• Generalized Quaternion and Rotation in 3-space E (3-alfa,beta)
• TENSOR PRODUCT SURFACES WITH POINTWISE 1-TYPE GAUSS MAP
• Submanifolds with finite type Gauss map
• CLASSIFICATIONS OF ROTATION SURFACES IN PSEUDO-EUCLIDEAN SPACE
• ON GENERALIZED ROTATIONAL SURFACES IN EUCLIDEAN SPACES
• FLAT ROTATIONAL SURFACES WITH POINTWISE 1-TYPE GAUSS MAP IN E⁴
• General rotational surfaces with pointwise 1-type Gauss map in pseudo-Euclidean space \(\mathrm E_2^4\)

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