Helicoidal surfaces with constant mean curvature

@article{Carmo1982HelicoidalSW,
  title={Helicoidal surfaces with constant mean curvature},
  author={M. Carmo and M. Dajczer},
  journal={Tohoku Mathematical Journal},
  year={1982},
  volume={34},
  pages={425-435}
}
We describe the space ƒ°H of all surfaces in R3 that have constant mean curvature H•‚0 and are invariant by helicoidal motions, with a fixed axis, of R3. Similar to the case ƒ°0 of minimal surfaces ƒ°H behaves roughly like a circular cylinder where a certain generator corresponds to the rotation surfaces and each parallel corresponds to a periodic family of isometric helicoidal surfaces. 
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