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

^*Bu çalışma için yazışmadan sorumlu yazar

Matematik Bölümü

Inonu University

Araştırma sonucu: Dergiye katkı › Makale › bilirkişi

Özet

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.

Orijinal dil	İngilizce
Sayfa (başlangıç-bitiş)	48-59
Sayfa sayısı	12
Dergi	International Electronic Journal of Geometry
Hacim	18
Basın numarası	1
DOI'lar	https://doi.org/10.36890/IEJG.1482641
Yayın durumu	Yayınlandı - 2025

Bibliyografik not

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

Belgeye Erişim

10.36890/IEJG.1482641

Diğer Dosyalar ve Linkler

Link to publication in Scopus

Alıntı Yap

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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.",

keywords = "Submanifolds with finite type Gauss map, rotational surfaces with generalized 1-type Gauss map, surfaces with finite type Gauss map",

author = "Turgay, \{Nurettin Cenk\} and Mustafa Sağdi{\c c} and Erol Kılı{\c c}",

year = "2025",

doi = "10.36890/IEJG.1482641",

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volume = "18",

pages = "48--59",

journal = "International Electronic Journal of Geometry",

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T1 - Simple Rotational Surfaces in Euclidean 4-Space with Generalized 1-type Gauss Map

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

AN - SCOPUS:105004676955

SN - 1307-5624

VL - 18

SP - 48

EP - 59

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

Özet

Bibliyografik not

Belgeye Erişim

Diğer Dosyalar ve Linkler

Parmak izi

Alıntı Yap