Geodesic
A Geometric Characterization of Helicodial Surfaces of Constant Mean Curvature
Publications de l'Institut Mathématique, _N_S_43 (1988) no. 57, p. 137

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We prove that a helicodial surface has constant mean curvature if and only if its principal axes make an angle constant with the orbits. Moreover, the arguments used lead to a simple proof of the fact that all helicodial surfaces with constant mean curvature $H$ can be isometrically deformed, trough helicodial surfaces of the same $H$, into surfaces of revolution of the same $H$ (Delaunay surfaces).
Classification : 53A05 
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     author = {Ioannis M. Roussos},
     title = {A {Geometric} {Characterization} of {Helicodial} {Surfaces} of {Constant} {Mean} {Curvature}},
     journal = {Publications de l'Institut Math\'ematique},
     pages = {137 },
     publisher = {mathdoc},
     volume = {_N_S_43},
     number = {57},
     year = {1988},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/PIM_1988_N_S_43_57_a16/}
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Ioannis M. Roussos. A Geometric Characterization of Helicodial Surfaces of Constant Mean Curvature. Publications de l'Institut Mathématique, _N_S_43 (1988) no. 57, p. 137 . http://geodesic.mathdoc.fr/item/PIM_1988_N_S_43_57_a16/