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^*

^*Corresponding author for this work

Department of Mathematics Engineering

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

6 Citations (Scopus)

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.

Original language	English
Pages (from-to)	415-427
Number of pages	13
Journal	Journal of the Australian Mathematical Society
Volume	99
Issue number	3
DOIs	https://doi.org/10.1017/S1446788715000208
Publication status	Published - 30 Oct 2015

Bibliographical note

Publisher Copyright:
© 2015 Australian Mathematical Publishing Association Inc.

Keywords

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

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10.1017/S1446788715000208

Cite this

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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.",

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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.

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KW - finite type mappings

KW - Lorentzian surfaces

KW - Minkowski space-time

KW - pointwise 1-type Gauss map

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

Abstract

Bibliographical note

Keywords

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