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- W2065946970 abstract "We study helix surfaces with parallel mean curvature vector in Euclidean space from a local point of view. Our main result says that they are either part of a cylinder of revolution or a plane. One way to prove this is with the generalization we found about the Laplacian of a support function of a hypersurface. This allows us to study the constant mean curvature surfaces in space forms which have constant angle with respect to a closed and conformal vector field. The result we find says that these surfaces are totally umbilic." @default.
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- W2065946970 date "2014-10-07" @default.
- W2065946970 modified "2023-10-10" @default.
- W2065946970 title "Helix surfaces in Euclidean spaces" @default.
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- W2065946970 doi "https://doi.org/10.1007/s13366-014-0226-2" @default.
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