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

Research output: Contribution to journalArticlepeer-review

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 languageEnglish
Pages (from-to)255-265
Number of pages11
JournalGeometry, Integrability and Quantization
Volume20
DOIs
Publication statusPublished - 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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