On pointwise 1-type gauss map of surfaces in 𝔼3                         1 concerning cheng-yau operator

Young Ho Kim; Nurettin Cenk Turgay

doi:10.4134/JKMS.j150757

On pointwise 1-type gauss map of surfaces in 𝔼³ ₁ concerning cheng-yau operator

Young Ho Kim
, Nurettin Cenk Turgay

Matematik Bölümü

Kyungpook National University

Araştırma sonucu: Dergiye katkı › Makale › bilirkişi

3 Atıf (Scopus)

Özet

In this paper, we study surfaces in 3-dimensional Minkowski space in terms of certain type of their Gauss map. We give several results on these surfaces whose Gauss map G satisfies □G = f(G + C) for a smooth function f and a constant vector C, where □ denotes the Cheng-Yau operator. In particular, we obtain classification theorems on the rotational surfaces in 𝔼³ ₁ with space-like axis of rotation in terms of type of their Gauss map concerning the Cheng-Yau operator.

Orijinal dil	İngilizce
Sayfa (başlangıç-bitiş)	381-397
Sayfa sayısı	17
Dergi	Journal of the Korean Mathematical Society
Hacim	54
Basın numarası	2
DOI'lar	https://doi.org/10.4134/JKMS.j150757
Yayın durumu	Yayınlandı - 2017

Bibliyografik not

Publisher Copyright:
© 2017 Korean Mathematical Society.

Finansman

Supported by Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education, Science and Technology (2012R1A1A2042298).

Finansörler	Finansör numarası
National Research Foundation of Korea
Ministry of Education, Science and Technology	2012R1A1A2042298

Belgeye Erişim

10.4134/JKMS.j150757

Diğer Dosyalar ve Linkler

Link to publication in Scopus

Alıntı Yap

@article{b7fb80424ddc4310a368b38f66724d3f,

title = "On pointwise 1-type gauss map of surfaces in 𝔼3 1 concerning cheng-yau operator",

abstract = "In this paper, we study surfaces in 3-dimensional Minkowski space in terms of certain type of their Gauss map. We give several results on these surfaces whose Gauss map G satisfies □G = f(G + C) for a smooth function f and a constant vector C, where □ denotes the Cheng-Yau operator. In particular, we obtain classification theorems on the rotational surfaces in 𝔼3 1 with space-like axis of rotation in terms of type of their Gauss map concerning the Cheng-Yau operator.",

keywords = "Cheng-Yau operator, Gauss map, Minkowski space, □-pointwise 1-type",

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

note = "Publisher Copyright: {\textcopyright} 2017 Korean Mathematical Society.",

year = "2017",

doi = "10.4134/JKMS.j150757",

language = "English",

volume = "54",

pages = "381--397",

journal = "Journal of the Korean Mathematical Society",

issn = "0304-9914",

publisher = "Korean Mathematical Society",

number = "2",

}

TY - JOUR

T1 - On pointwise 1-type gauss map of surfaces in 𝔼3 1 concerning cheng-yau operator

AU - Kim, Young Ho

AU - Turgay, Nurettin Cenk

PY - 2017

Y1 - 2017

N2 - In this paper, we study surfaces in 3-dimensional Minkowski space in terms of certain type of their Gauss map. We give several results on these surfaces whose Gauss map G satisfies □G = f(G + C) for a smooth function f and a constant vector C, where □ denotes the Cheng-Yau operator. In particular, we obtain classification theorems on the rotational surfaces in 𝔼3 1 with space-like axis of rotation in terms of type of their Gauss map concerning the Cheng-Yau operator.

AB - In this paper, we study surfaces in 3-dimensional Minkowski space in terms of certain type of their Gauss map. We give several results on these surfaces whose Gauss map G satisfies □G = f(G + C) for a smooth function f and a constant vector C, where □ denotes the Cheng-Yau operator. In particular, we obtain classification theorems on the rotational surfaces in 𝔼3 1 with space-like axis of rotation in terms of type of their Gauss map concerning the Cheng-Yau operator.

KW - Cheng-Yau operator

KW - Gauss map

KW - Minkowski space

KW - □-pointwise 1-type

UR - https://www.scopus.com/pages/publications/85014008516

U2 - 10.4134/JKMS.j150757

DO - 10.4134/JKMS.j150757

M3 - Article

AN - SCOPUS:85014008516

SN - 0304-9914

VL - 54

SP - 381

EP - 397

JO - Journal of the Korean Mathematical Society

JF - Journal of the Korean Mathematical Society

IS - 2

ER -

On pointwise 1-type gauss map of surfaces in 𝔼3 1 concerning cheng-yau operator