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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The author was supported by the grant BJT 373672/2013-6 of CNPq, Brazil.
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Fetcu, D. A classification result for helix surfaces with parallel mean curvature in product spaces. Ark Mat 53, 249–258 (2015). https://doi.org/10.1007/s11512-014-0206-7
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DOI: https://doi.org/10.1007/s11512-014-0206-7