On the ruled surfaces with L1-pointwise 1-type Gauss map

Young Ho Kim; Nurettin Cenk Turgay

doi:10.5666/KMJ.2017.57.1.133

On the ruled surfaces with L1-pointwise 1-type Gauss map

Young Ho Kim^*, Nurettin Cenk Turgay

^*Bu çalışma için yazışmadan sorumlu yazar

Matematik Bölümü

Kyungpook National University

Araştırma sonucu: ???type-name??? › Makale › bilirkişi

3 Atıf (Scopus)

Özet

In this paper, we study ruled surfaces in 3-dimensional Euclidean and Minkowski space in terms of their Gauss map. We obtain classification theorems for these type of surfaces whose Gauss map G satisfying □G = f(G+C) for a constant vector C ∈ E(double-struck)³ and a smooth function f, where □ denotes the Cheng-Yau operator.

Orijinal dil	İngilizce
Sayfa (başlangıç-bitiş)	133-144
Sayfa sayısı	12
Dergi	Kyungpook Mathematical Journal
Hacim	57
Basın numarası	1
DOI'lar	https://doi.org/10.5666/KMJ.2017.57.1.133
Yayın durumu	Yayınlandı - 2017

Bibliyografik not

Publisher Copyright:
© Kyungpook Mathematical Journal.

Belgeye Erişim

10.5666/KMJ.2017.57.1.133

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Link to publication in Scopus

Alıntı Yap

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title = "On the ruled surfaces with L1-pointwise 1-type Gauss map",

abstract = "In this paper, we study ruled surfaces in 3-dimensional Euclidean and Minkowski space in terms of their Gauss map. We obtain classification theorems for these type of surfaces whose Gauss map G satisfying □G = f(G+C) for a constant vector C ∈ E(double-struck)3 and a smooth function f, where □ denotes the Cheng-Yau operator.",

keywords = "Cheng-Yau operator, Gauss map, Null scroll, Pointwise 1-type, Ruled surface",

author = "Kim, {Young Ho} and Turgay, {Nurettin Cenk}",

note = "Publisher Copyright: {\textcopyright} Kyungpook Mathematical Journal.",

year = "2017",

doi = "10.5666/KMJ.2017.57.1.133",

language = "English",

volume = "57",

pages = "133--144",

journal = "Kyungpook Mathematical Journal",

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T1 - On the ruled surfaces with L1-pointwise 1-type Gauss map

AU - Kim, Young Ho

AU - Turgay, Nurettin Cenk

N1 - Publisher Copyright: © Kyungpook Mathematical Journal.

PY - 2017

Y1 - 2017

N2 - In this paper, we study ruled surfaces in 3-dimensional Euclidean and Minkowski space in terms of their Gauss map. We obtain classification theorems for these type of surfaces whose Gauss map G satisfying □G = f(G+C) for a constant vector C ∈ E(double-struck)3 and a smooth function f, where □ denotes the Cheng-Yau operator.

AB - In this paper, we study ruled surfaces in 3-dimensional Euclidean and Minkowski space in terms of their Gauss map. We obtain classification theorems for these type of surfaces whose Gauss map G satisfying □G = f(G+C) for a constant vector C ∈ E(double-struck)3 and a smooth function f, where □ denotes the Cheng-Yau operator.

KW - Cheng-Yau operator

KW - Gauss map

KW - Null scroll

KW - Pointwise 1-type

KW - Ruled surface

UR - http://www.scopus.com/inward/record.url?scp=85017190646&partnerID=8YFLogxK

U2 - 10.5666/KMJ.2017.57.1.133

DO - 10.5666/KMJ.2017.57.1.133

M3 - Article

AN - SCOPUS:85017190646

SN - 1225-6951

VL - 57

SP - 133

EP - 144

JO - Kyungpook Mathematical Journal

JF - Kyungpook Mathematical Journal

IS - 1

ER -

On the ruled surfaces with L1-pointwise 1-type Gauss map

Özet

Bibliyografik not

Belgeye Erişim

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