Classifications of helicoidal surfaces with l1-pointwise 1-type gauss map

Young Ho Kim; Nurettin Cenk Turgay

doi:10.4134/BKMS.2013.50.4.1345

Classifications of helicoidal surfaces with l1-pointwise 1-type gauss map

Young Ho Kim
, Nurettin Cenk Turgay

Matematik Bölümü

Kyungpook National University

Araştırma sonucu: Dergiye katkı › Makale › bilirkişi

13 Atıf (Scopus)

Özet

In this paper, we study rotational and helicoidal surfaces in Euclidean 3-space in terms of their Gauss map. We obtain a complete classification of these type of surfaces whose Gauss maps G satisfy L₁G = f(G+C) for some constant vector C ∈ E³ and smooth function f, where L₁ denotes the Cheng-Yau operator.

Orijinal dil	İngilizce
Sayfa (başlangıç-bitiş)	1345-1356
Sayfa sayısı	12
Dergi	Bulletin of the Korean Mathematical Society
Hacim	50
Basın numarası	4
DOI'lar	https://doi.org/10.4134/BKMS.2013.50.4.1345
Yayın durumu	Yayınlandı - 2013

Belgeye Erişim

10.4134/BKMS.2013.50.4.1345

Diğer Dosyalar ve Linkler

Link to publication in Scopus

Alıntı Yap

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title = "Classifications of helicoidal surfaces with l1-pointwise 1-type gauss map",

abstract = "In this paper, we study rotational and helicoidal surfaces in Euclidean 3-space in terms of their Gauss map. We obtain a complete classification of these type of surfaces whose Gauss maps G satisfy L1G = f(G+C) for some constant vector C ∈ E3 and smooth function f, where L1 denotes the Cheng-Yau operator.",

keywords = "Cheng-yau operator, Gauss map, Helicoidal surface, L1-pointwise 1-type, Lie point symmetry, Rotational surface",

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

year = "2013",

doi = "10.4134/BKMS.2013.50.4.1345",

language = "English",

volume = "50",

pages = "1345--1356",

journal = "Bulletin of the Korean Mathematical Society",

issn = "1015-8634",

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TY - JOUR

T1 - Classifications of helicoidal surfaces with l1-pointwise 1-type gauss map

AU - Kim, Young Ho

AU - Turgay, Nurettin Cenk

PY - 2013

Y1 - 2013

N2 - In this paper, we study rotational and helicoidal surfaces in Euclidean 3-space in terms of their Gauss map. We obtain a complete classification of these type of surfaces whose Gauss maps G satisfy L1G = f(G+C) for some constant vector C ∈ E3 and smooth function f, where L1 denotes the Cheng-Yau operator.

AB - In this paper, we study rotational and helicoidal surfaces in Euclidean 3-space in terms of their Gauss map. We obtain a complete classification of these type of surfaces whose Gauss maps G satisfy L1G = f(G+C) for some constant vector C ∈ E3 and smooth function f, where L1 denotes the Cheng-Yau operator.

KW - Cheng-yau operator

KW - Gauss map

KW - Helicoidal surface

KW - L1-pointwise 1-type

KW - Lie point symmetry

KW - Rotational surface

UR - https://www.scopus.com/pages/publications/84887121187

U2 - 10.4134/BKMS.2013.50.4.1345

DO - 10.4134/BKMS.2013.50.4.1345

M3 - Article

AN - SCOPUS:84887121187

SN - 1015-8634

VL - 50

SP - 1345

EP - 1356

JO - Bulletin of the Korean Mathematical Society

JF - Bulletin of the Korean Mathematical Society

IS - 4

ER -

Classifications of helicoidal surfaces with l1-pointwise 1-type gauss map

Özet

Belgeye Erişim

Diğer Dosyalar ve Linkler

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