Simple Rotational Surfaces in Euclidean 4-Space with Generalized 1-type Gauss Map

Nurettin Cenk Turgay; Mustafa Sağdiç; Erol Kılıç

doi:10.36890/IEJG.1482641

Simple Rotational Surfaces in Euclidean 4-Space with Generalized 1-type Gauss Map

Nurettin Cenk Turgay, Mustafa Sağdiç^*, Erol Kılıç

^*Corresponding author for this work

Department of Mathematics Engineering

Inonu University

Research output: Contribution to journal › Article › peer-review

Abstract

In this paper, we consider simple rotational surfaces in the Euclidean 4-space E⁴ with the profile curve contained in a 2-plane. In terms of having generalized 1-type Gauss map, we obtain some classification results of minimal surfaces, flat simple rotational surfaces and simple rotational surfaces with constant Gaussian curvature.

Original language	English
Pages (from-to)	48-59
Number of pages	12
Journal	International Electronic Journal of Geometry
Volume	18
Issue number	1
DOIs	https://doi.org/10.36890/IEJG.1482641
Publication status	Published - 2025

Bibliographical note

Publisher Copyright:
© (2025), (DergiPark). All rights reserved.

Keywords

Submanifolds with finite type Gauss map
rotational surfaces with generalized 1-type Gauss map
surfaces with finite type Gauss map

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10.36890/IEJG.1482641

Cite this

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title = "Simple Rotational Surfaces in Euclidean 4-Space with Generalized 1-type Gauss Map",

abstract = "In this paper, we consider simple rotational surfaces in the Euclidean 4-space E4 with the profile curve contained in a 2-plane. In terms of having generalized 1-type Gauss map, we obtain some classification results of minimal surfaces, flat simple rotational surfaces and simple rotational surfaces with constant Gaussian curvature.",

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year = "2025",

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AU - Turgay, Nurettin Cenk

AU - Sağdiç, Mustafa

AU - Kılıç, Erol

PY - 2025

Y1 - 2025

N2 - In this paper, we consider simple rotational surfaces in the Euclidean 4-space E4 with the profile curve contained in a 2-plane. In terms of having generalized 1-type Gauss map, we obtain some classification results of minimal surfaces, flat simple rotational surfaces and simple rotational surfaces with constant Gaussian curvature.

AB - In this paper, we consider simple rotational surfaces in the Euclidean 4-space E4 with the profile curve contained in a 2-plane. In terms of having generalized 1-type Gauss map, we obtain some classification results of minimal surfaces, flat simple rotational surfaces and simple rotational surfaces with constant Gaussian curvature.

KW - Submanifolds with finite type Gauss map

KW - rotational surfaces with generalized 1-type Gauss map

KW - surfaces with finite type Gauss map

UR - https://www.scopus.com/pages/publications/105004676955

U2 - 10.36890/IEJG.1482641

DO - 10.36890/IEJG.1482641

M3 - Article

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JO - International Electronic Journal of Geometry

JF - International Electronic Journal of Geometry

IS - 1

ER -

Simple Rotational Surfaces in Euclidean 4-Space with Generalized 1-type Gauss Map

Abstract

Bibliographical note

Keywords

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