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 |
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Pages (from-to) | 255-265 |
Number of pages | 11 |
Journal | Geometry, Integrability and Quantization |
Volume | 20 |
DOIs | |
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