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

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)


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 languageEnglish
Article number109
JournalMediterranean Journal of Mathematics
Issue number3
Publication statusPublished - Jun 2021

Bibliographical note

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


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


Dive into the research topics of 'On the Biconservative Quasi-Minimal Immersions into Semi-Euclidean Spaces'. Together they form a unique fingerprint.

Cite this