On the Biconservative Quasi-Minimal Immersions into Semi-Euclidean Spaces

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

doi:10.1007/s00009-021-01755-z

On the Biconservative Quasi-Minimal Immersions into Semi-Euclidean Spaces

Rüya Yeğgin Şen^*
, Alev Kelleci
, Nurettin Cenk Turgay
, Elif Özkara Canfes

^*Corresponding author for this work

Department of Mathematics Engineering

Istanbul Medeniyet University
Firat University

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

3 Citations (Scopus)

Abstract

In this paper, we study biconservative immersions into the semi-Riemannian space form R24(c) of dimension 4, index 2 and constant curvature c∈ { 0 , - 1 , 1 }. First, we obtain a characterization of quasi-minimal proper biconservative immersions into R24(c). Then we obtain the complete classification of quasi-minimal biconservative surfaces in R24(0)=E24. We also obtain a new class of biharmonic quasi-minimal surfaces in E24.

Original language	English
Article number	109
Journal	Mediterranean Journal of Mathematics
Volume	18
Issue number	3
DOIs	https://doi.org/10.1007/s00009-021-01755-z
Publication status	Published - Jun 2021

Bibliographical note

Publisher Copyright:
© 2021, The Author(s), under exclusive licence to Springer Nature Switzerland AG.

Keywords

Biconservative immersions
biharmonic submanifolds
quasi-minimal surfaces
semi-Riemannian space forms

Access to Document

10.1007/s00009-021-01755-z

Cite this

@article{d3be0f8ad6484bfa9723803351b64aea,

title = "On the Biconservative Quasi-Minimal Immersions into Semi-Euclidean Spaces",

abstract = "In this paper, we study biconservative immersions into the semi-Riemannian space form R24(c) of dimension 4, index 2 and constant curvature c∈ \{ 0 , - 1 , 1 \}. First, we obtain a characterization of quasi-minimal proper biconservative immersions into R24(c). Then we obtain the complete classification of quasi-minimal biconservative surfaces in R24(0)=E24. We also obtain a new class of biharmonic quasi-minimal surfaces in E24.",

keywords = "Biconservative immersions, biharmonic submanifolds, quasi-minimal surfaces, semi-Riemannian space forms",

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

note = "Publisher Copyright: {\textcopyright} 2021, The Author(s), under exclusive licence to Springer Nature Switzerland AG.",

year = "2021",

month = jun,

doi = "10.1007/s00009-021-01755-z",

language = "English",

volume = "18",

journal = "Mediterranean Journal of Mathematics",

issn = "1660-5446",

publisher = "Birkhauser Verlag Basel",

number = "3",

}

TY - JOUR

T1 - On the Biconservative Quasi-Minimal Immersions into Semi-Euclidean Spaces

AU - Yeğgin Şen, Rüya

AU - Kelleci, Alev

AU - Turgay, Nurettin Cenk

AU - Özkara Canfes, Elif

PY - 2021/6

Y1 - 2021/6

N2 - In this paper, we study biconservative immersions into the semi-Riemannian space form R24(c) of dimension 4, index 2 and constant curvature c∈ { 0 , - 1 , 1 }. First, we obtain a characterization of quasi-minimal proper biconservative immersions into R24(c). Then we obtain the complete classification of quasi-minimal biconservative surfaces in R24(0)=E24. We also obtain a new class of biharmonic quasi-minimal surfaces in E24.

AB - In this paper, we study biconservative immersions into the semi-Riemannian space form R24(c) of dimension 4, index 2 and constant curvature c∈ { 0 , - 1 , 1 }. First, we obtain a characterization of quasi-minimal proper biconservative immersions into R24(c). Then we obtain the complete classification of quasi-minimal biconservative surfaces in R24(0)=E24. We also obtain a new class of biharmonic quasi-minimal surfaces in E24.

KW - Biconservative immersions

KW - biharmonic submanifolds

KW - quasi-minimal surfaces

KW - semi-Riemannian space forms

UR - https://www.scopus.com/pages/publications/85104513615

U2 - 10.1007/s00009-021-01755-z

DO - 10.1007/s00009-021-01755-z

M3 - Article

AN - SCOPUS:85104513615

SN - 1660-5446

VL - 18

JO - Mediterranean Journal of Mathematics

JF - Mediterranean Journal of Mathematics

IS - 3

M1 - 109

ER -

On the Biconservative Quasi-Minimal Immersions into Semi-Euclidean Spaces

Abstract

Bibliographical note

Keywords

Access to Document

Other files and links

Fingerprint

Cite this