On quasi-minimal isometric immersions into non-flat semi Riemannian space forms of index two

Nurettin Cenk Turgay; Alev Kelleci; Rüya Yegin Şen; Elif Özkara Canfes

doi:10.7546/giq-20-2019-255-265

On quasi-minimal isometric immersions into non-flat semi Riemannian space forms of index two

Nurettin Cenk Turgay
, Alev Kelleci
, Rüya Yegin Şen
, Elif Özkara Canfes

Department of Mathematics Engineering

Firat University
Istanbul Medeniyet University

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

1 Citation (Scopus)

Abstract

In this paper, first we gave a summary of recent results on biconservative immersions. Then, we obtained a necessary and sufficient condition for the existence of biconservative quasi-minimal immersions into a four dimensional semi-Riemannian space form of index two with non-zero sectional curvatures. We also constructed an explicit example of biconservative quasi-minimal surface.

Original language	English
Pages (from-to)	255-265
Number of pages	11
Journal	Geometry, Integrability and Quantization
Volume	20
DOIs	https://doi.org/10.7546/giq-20-2019-255-265
Publication status	Published - 2019

Bibliographical note

Publisher Copyright:
© 2019 Bulgarian Academy of Sciences. All Rights Reserved.

Keywords

Biconservative immersions
Biharmonic submanifolds
Lorentzian surfaces
Quasi-minimal surfaces
Semi-Riemannian space-forms

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10.7546/giq-20-2019-255-265

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abstract = "In this paper, first we gave a summary of recent results on biconservative immersions. Then, we obtained a necessary and sufficient condition for the existence of biconservative quasi-minimal immersions into a four dimensional semi-Riemannian space form of index two with non-zero sectional curvatures. We also constructed an explicit example of biconservative quasi-minimal surface.",

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author = "Turgay, \{Nurettin Cenk\} and Alev Kelleci and {\c S}en, \{R{\"u}ya Yegin\} and Canfes, \{Elif {\"O}zkara\}",

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doi = "10.7546/giq-20-2019-255-265",

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AU - Kelleci, Alev

AU - Şen, Rüya Yegin

AU - Canfes, Elif Özkara

PY - 2019

Y1 - 2019

N2 - In this paper, first we gave a summary of recent results on biconservative immersions. Then, we obtained a necessary and sufficient condition for the existence of biconservative quasi-minimal immersions into a four dimensional semi-Riemannian space form of index two with non-zero sectional curvatures. We also constructed an explicit example of biconservative quasi-minimal surface.

AB - In this paper, first we gave a summary of recent results on biconservative immersions. Then, we obtained a necessary and sufficient condition for the existence of biconservative quasi-minimal immersions into a four dimensional semi-Riemannian space form of index two with non-zero sectional curvatures. We also constructed an explicit example of biconservative quasi-minimal surface.

KW - Biconservative immersions

KW - Biharmonic submanifolds

KW - Lorentzian surfaces

KW - Quasi-minimal surfaces

KW - Semi-Riemannian space-forms

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VL - 20

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JO - Geometry, Integrability and Quantization

JF - Geometry, Integrability and Quantization

ER -

On quasi-minimal isometric immersions into non-flat semi Riemannian space forms of index two

Abstract

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Keywords

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