Surfaces with parallel mean curvature in warped product spaces
Abstract
In this work, we obtain a geometric description of surfaces $M^2$ of arbitrary codimension in the warped product $\mathbb{R}\times_ρ\mathbb{Q}^n_ε$, with parallel mean curvature vector field in the normal connection, extending a result by Alencar-do Carmo-Tribuzy.
Fields of Study & Subjects
Advanced Differential Geometry Research
Geometric Analysis and Curvature Flows
Nonlinear Partial Differential Equations
Publication details
- Journal / source
- arXiv (Cornell University)
- Publication date
- 2 March 2026
- Language
- EN
- Document type
- Preprint