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

Department of Mathematics Engineering

Kyungpook National University

Research output: Contribution to journal › Article › peer-review

3 Citations (Scopus)

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.

Original language	English
Pages (from-to)	381-397
Number of pages	17
Journal	Journal of the Korean Mathematical Society
Volume	54
Issue number	2
DOIs	https://doi.org/10.4134/JKMS.j150757
Publication status	Published - 2017

Bibliographical note

Publisher Copyright:
© 2017 Korean Mathematical Society.

Funding

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

Funders	Funder number
National Research Foundation of Korea
Ministry of Education, Science and Technology	2012R1A1A2042298

Keywords

Cheng-Yau operator
Gauss map
Minkowski space
□-pointwise 1-type

Access to Document

10.4134/JKMS.j150757

Cite this

@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 - http://www.scopus.com/inward/record.url?scp=85014008516&partnerID=8YFLogxK

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 -