Translation surfaces of finite Chen type in hyperbolic space $\mathbb H^3$
In the hyperbolic space $\mathbb {H}^3$, defined as $\mathbb {R}_{+}^3 = \{(x,y,z)\in \mathbb {R}^3 : z \gt 0 \}$ equipped with the hyperbolic metric, a translation surface is expressed as $z = f(x)+g(y)$ or $y=f(x)+g(z)$, where $f$ and $g$ are smooth fun
Authors
- Rafik Medjati (ORCID: https://orcid.org/0000-0003-2061-1581)
- Zoubir Hanifi
- Lakehal Belarbi (ORCID: https://orcid.org/0000-0002-9196-1979)
- Amina Boussafsaf
Institutions
- Université Oran 1 Ahmed Ben Bella (DZ)
- Université de Mostaganem (DZ)
- École Nationale Polytechnique d'Oran (DZ)
Publication Details
- Journal
- Applicationes Mathematicae
- Published
- 2025-01-01
- DOI
- https://doi.org/10.4064/am2527-2-2025
- Primary Topic
- Geometric and Algebraic Topology
- Type
- article
- Field-Weighted Citation Impact
- 0.00