General rotational surfaces in euclidean space E 4 with pointwise 1-type gauss map

Uǧur Dursun; Nurretin Cenk Turgay

General rotational surfaces in euclidean space E ⁴ with pointwise 1-type gauss map

Uǧur Dursun^*
, Nurretin Cenk Turgay

^*Bu çalışma için yazışmadan sorumlu yazar

Matematik Bölümü

Istanbul Technical University

Araştırma sonucu: Dergiye katkı › Makale › bilirkişi

30 Atıf (Scopus)

Özet

In this paper, we study general rotational surfaces in E ⁴ with pointwise 1-type Gauss map. We consider general rotational surfaces in E4 whose meridian curves lie in two-dimensional planes. We firstly obtain all general rotational surfaces in E ⁴ with proper pointwise 1-type Gauss map of the first kind. Then we classify minimal rotational surfaces of E ⁴ with proper pointwise 1-type Gauss map of the second kind.

Orijinal dil	İngilizce
Sayfa (başlangıç-bitiş)	71-81
Sayfa sayısı	11
Dergi	Mathematical Communications
Hacim	17
Basın numarası	1
Yayın durumu	Yayınlandı - 2012

Diğer Dosyalar ve Linkler

Link to publication in Scopus

Alıntı Yap

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title = "General rotational surfaces in euclidean space E 4 with pointwise 1-type gauss map",

abstract = "In this paper, we study general rotational surfaces in E 4 with pointwise 1-type Gauss map. We consider general rotational surfaces in E4 whose meridian curves lie in two-dimensional planes. We firstly obtain all general rotational surfaces in E 4 with proper pointwise 1-type Gauss map of the first kind. Then we classify minimal rotational surfaces of E 4 with proper pointwise 1-type Gauss map of the second kind.",

keywords = "Gauss map, Mean curvature, Minimal surface, Normal bundle, Point- wise 1-type, Rotational surfaces",

author = "Uǧur Dursun and Turgay, \{Nurretin Cenk\}",

year = "2012",

language = "English",

volume = "17",

pages = "71--81",

journal = "Mathematical Communications",

issn = "1331-0623",

publisher = "Udruga Matematicara Osijek",

number = "1",

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TY - JOUR

T1 - General rotational surfaces in euclidean space E 4 with pointwise 1-type gauss map

AU - Dursun, Uǧur

AU - Turgay, Nurretin Cenk

PY - 2012

Y1 - 2012

N2 - In this paper, we study general rotational surfaces in E 4 with pointwise 1-type Gauss map. We consider general rotational surfaces in E4 whose meridian curves lie in two-dimensional planes. We firstly obtain all general rotational surfaces in E 4 with proper pointwise 1-type Gauss map of the first kind. Then we classify minimal rotational surfaces of E 4 with proper pointwise 1-type Gauss map of the second kind.

AB - In this paper, we study general rotational surfaces in E 4 with pointwise 1-type Gauss map. We consider general rotational surfaces in E4 whose meridian curves lie in two-dimensional planes. We firstly obtain all general rotational surfaces in E 4 with proper pointwise 1-type Gauss map of the first kind. Then we classify minimal rotational surfaces of E 4 with proper pointwise 1-type Gauss map of the second kind.

KW - Gauss map

KW - Mean curvature

KW - Minimal surface

KW - Normal bundle

KW - Point- wise 1-type

KW - Rotational surfaces

UR - https://www.scopus.com/pages/publications/84866458469

M3 - Article

AN - SCOPUS:84866458469

SN - 1331-0623

VL - 17

SP - 71

EP - 81

JO - Mathematical Communications

JF - Mathematical Communications

IS - 1

ER -

General rotational surfaces in euclidean space E 4 with pointwise 1-type gauss map

Özet

Diğer Dosyalar ve Linkler

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Alıntı Yap

General rotational surfaces in euclidean space E ⁴ with pointwise 1-type gauss map