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

Matematik Bölümü

Araştırma sonucu: Dergiye katkı › Makale › bilirkişi

1 Atıf (Scopus)

Özet

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.

Orijinal dil	İngilizce
Sayfa (başlangıç-bitiş)	255-265
Sayfa sayısı	11
Dergi	Geometry, Integrability and Quantization
Hacim	20
DOI'lar	https://doi.org/10.7546/giq-20-2019-255-265
Yayın durumu	Yayınlandı - 2019

Bibliyografik not

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

Belgeye Erişim

10.7546/giq-20-2019-255-265

Diğer Dosyalar ve Linkler

Link to publication in Scopus

Alıntı Yap

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

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.",

keywords = "Biconservative immersions, Biharmonic submanifolds, Lorentzian surfaces, Quasi-minimal surfaces, Semi-Riemannian space-forms",

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

year = "2019",

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

language = "English",

volume = "20",

pages = "255--265",

journal = "Geometry, Integrability and Quantization",

issn = "1314-3247",

publisher = "Bulgarska Akademiya na Naukite",

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TY - JOUR

T1 - On quasi-minimal isometric immersions into non-flat semi Riemannian space forms of index two

AU - Turgay, Nurettin Cenk

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

UR - https://www.scopus.com/pages/publications/85059408066

U2 - 10.7546/giq-20-2019-255-265

DO - 10.7546/giq-20-2019-255-265

M3 - Article

AN - SCOPUS:85059408066

SN - 1314-3247

VL - 20

SP - 255

EP - 265

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

Özet

Bibliyografik not

Belgeye Erişim

Diğer Dosyalar ve Linkler

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