The rigidity of biconservative surfaces in $$\text {Sol}_3$$
Abstract We consider biconservative surfaces in $$\text {Sol}_3$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msub> <mml:mtext>Sol</mml:mtext> <mml:mn>3</mml:mn> </mml:msub> </mml:math> , find their local equations, and then show that all biharmonic surfaces in this space are minimal.
Authors
- Dorel Fetcu (ORCID: https://orcid.org/0000-0003-0656-116X)
Institutions
- Gheorghe Asachi Technical University of Iași (RO)
Publication Details
- Journal
- Annali di Matematica Pura ed Applicata (1923 -)
- Published
- 2025-04-21
- DOI
- https://doi.org/10.1007/s10231-025-01574-z
- Citations
- 1
- Primary Topic
- Geometric Analysis and Curvature Flows
- Type
- article
- Field-Weighted Citation Impact
- 3.73