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arXiv · 1312.3196

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

Dorel Fetcu
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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 $c$.

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Dorel Fetcu. 2013-12-11. A classification result for helix surfaces with parallel mean curvature in product spaces. https://doi.org/10.1007/s11512-014-0206-7

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