Some classifications of Lorentzian surfaces with finite type gauss map in the Minkowski 4-space

Nurettin Cenk Turgay

doi:10.1017/S1446788715000208

Some classifications of Lorentzian surfaces with finite type gauss map in the Minkowski 4-space

Nurettin Cenk Turgay^*

^*Bu çalışma için yazışmadan sorumlu yazar

Matematik Bölümü

Araştırma sonucu: Dergiye katkı › Makale › bilirkişi

6 Atıf (Scopus)

Özet

In this paper we study the Lorentzian surfaces with finite type Gauss map in the four-dimensional Minkowski space. First, we obtain the complete classification of minimal surfaces with pointwise 1-type Gauss map. Then, we get a classification of Lorentzian surfaces with nonzero constant mean curvature and of finite type Gauss map. We also give some explicit examples.

Orijinal dil	İngilizce
Sayfa (başlangıç-bitiş)	415-427
Sayfa sayısı	13
Dergi	Journal of the Australian Mathematical Society
Hacim	99
Basın numarası	3
DOI'lar	https://doi.org/10.1017/S1446788715000208
Yayın durumu	Yayınlandı - 30 Eki 2015

Bibliyografik not

Publisher Copyright:
© 2015 Australian Mathematical Publishing Association Inc.

Belgeye Erişim

10.1017/S1446788715000208

Diğer Dosyalar ve Linkler

Link to publication in Scopus

Alıntı Yap

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title = "Some classifications of Lorentzian surfaces with finite type gauss map in the Minkowski 4-space",

abstract = "In this paper we study the Lorentzian surfaces with finite type Gauss map in the four-dimensional Minkowski space. First, we obtain the complete classification of minimal surfaces with pointwise 1-type Gauss map. Then, we get a classification of Lorentzian surfaces with nonzero constant mean curvature and of finite type Gauss map. We also give some explicit examples.",

keywords = "constant mean curvature, finite type mappings, Lorentzian surfaces, Minkowski space-time, pointwise 1-type Gauss map",

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year = "2015",

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day = "30",

doi = "10.1017/S1446788715000208",

language = "English",

volume = "99",

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T1 - Some classifications of Lorentzian surfaces with finite type gauss map in the Minkowski 4-space

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PY - 2015/10/30

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N2 - In this paper we study the Lorentzian surfaces with finite type Gauss map in the four-dimensional Minkowski space. First, we obtain the complete classification of minimal surfaces with pointwise 1-type Gauss map. Then, we get a classification of Lorentzian surfaces with nonzero constant mean curvature and of finite type Gauss map. We also give some explicit examples.

AB - In this paper we study the Lorentzian surfaces with finite type Gauss map in the four-dimensional Minkowski space. First, we obtain the complete classification of minimal surfaces with pointwise 1-type Gauss map. Then, we get a classification of Lorentzian surfaces with nonzero constant mean curvature and of finite type Gauss map. We also give some explicit examples.

KW - constant mean curvature

KW - finite type mappings

KW - Lorentzian surfaces

KW - Minkowski space-time

KW - pointwise 1-type Gauss map

UR - https://www.scopus.com/pages/publications/84949100977

U2 - 10.1017/S1446788715000208

DO - 10.1017/S1446788715000208

M3 - Article

AN - SCOPUS:84949100977

SN - 1446-7887

VL - 99

SP - 415

EP - 427

JO - Journal of the Australian Mathematical Society

JF - Journal of the Australian Mathematical Society

IS - 3

ER -

Some classifications of Lorentzian surfaces with finite type gauss map in the Minkowski 4-space

Özet

Bibliyografik not

Belgeye Erişim

Diğer Dosyalar ve Linkler

Parmak izi

Alıntı Yap