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

^*Corresponding author for this work

Department of Mathematics Engineering

Kyungpook National University

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

3 Citations (Scopus)

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.

Original language	English
Pages (from-to)	133-144
Number of pages	12
Journal	Kyungpook Mathematical Journal
Volume	57
Issue number	1
DOIs	https://doi.org/10.5666/KMJ.2017.57.1.133
Publication status	Published - 2017

Bibliographical note

Publisher Copyright:
© Kyungpook Mathematical Journal.

Keywords

Cheng-Yau operator
Gauss map
Null scroll
Pointwise 1-type
Ruled surface

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10.5666/KMJ.2017.57.1.133

Cite this

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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.",

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

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AU - Turgay, Nurettin Cenk

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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

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M3 - Article

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JO - Kyungpook Mathematical Journal

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ER -

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

Abstract

Bibliographical note

Keywords

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