GENERAL ROTATIONAL SURFACES IN EUCLIDEAN 4-SPACE WITH GENERALIZED 1-TYPE GAUSS MAP

Mustafa Sağdiç; Nurettin Cenk Turgay; Erol Kiliç

doi:10.56947/gjom.v15i1.1383

GENERAL ROTATIONAL SURFACES IN EUCLIDEAN 4-SPACE WITH GENERALIZED 1-TYPE GAUSS MAP

Mustafa Sağdiç^*, Nurettin Cenk Turgay, Erol Kiliç

^*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 rotational surfaces in the Euclidean 4-space E⁴ with the profile curve contained in a 2-plane. We obtain some classification results of such surfaces in terms of having generalized 1-type Gauss map.

Original language	English
Pages (from-to)	109-118
Number of pages	10
Journal	Gulf Journal of Mathematics
Volume	15
Issue number	1
DOIs	https://doi.org/10.56947/gjom.v15i1.1383
Publication status	Published - 2023

Bibliographical note

Publisher Copyright:
© 2023, Canadian University of Dubai. All rights reserved.

Keywords

Gauss map
Rotational surfaces
generalized 1-type
minimal surface

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10.56947/gjom.v15i1.1383

Cite this

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title = "GENERAL ROTATIONAL SURFACES IN EUCLIDEAN 4-SPACE WITH GENERALIZED 1-TYPE GAUSS MAP",

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

keywords = "Gauss map, Rotational surfaces, generalized 1-type, minimal surface",

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

year = "2023",

doi = "10.56947/gjom.v15i1.1383",

language = "English",

volume = "15",

pages = "109--118",

journal = "Gulf Journal of Mathematics",

issn = "2309-4966",

publisher = "Canadian University of Dubai",

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T1 - GENERAL ROTATIONAL SURFACES IN EUCLIDEAN 4-SPACE WITH GENERALIZED 1-TYPE GAUSS MAP

AU - Sağdiç, Mustafa

AU - Turgay, Nurettin Cenk

AU - Kiliç, Erol

PY - 2023

Y1 - 2023

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

KW - Gauss map

KW - Rotational surfaces

KW - generalized 1-type

KW - minimal surface

UR - https://www.scopus.com/pages/publications/85169798713

U2 - 10.56947/gjom.v15i1.1383

DO - 10.56947/gjom.v15i1.1383

M3 - Article

AN - SCOPUS:85169798713

SN - 2309-4966

VL - 15

SP - 109

EP - 118

JO - Gulf Journal of Mathematics

JF - Gulf Journal of Mathematics

IS - 1

ER -

GENERAL ROTATIONAL SURFACES IN EUCLIDEAN 4-SPACE WITH GENERALIZED 1-TYPE GAUSS MAP

Abstract

Bibliographical note

Keywords

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