A classification result for helix surfaces with parallel mean curvature in product spaces

Abstract

We determine all helix surfaces with parallel mean curvature vector field, which are not minimal or pseudo-umbilical, in spaces of type $M^n(c)\times \mathbb{R}$, where $M^n(c)$ is a simply-connected $n$-dimensional manifold with constant sectional curvature $c$.

7 pages

References in corpus (1)

• Surfaces with parallel mean curvature in $\mathbb{C}{P}^n\times \mathbb{R}$ and $\mathbb{C}{H}^n\times \mathbb{R}$

Cited by in corpus (1)

• CMC biconservative surfaces in ${\mathbb{S}}^n\times \mathbb{R}$ and ${\mathbb{H}}^n\times \mathbb{R}$