Abstract
In this paper, we discuss the local existence and the construction of helicoidal CDPC-surfaces, i.e. the helicoidal surfaces with constant difference of the principal curvatures, in Minkowski 3-space [Formula: see text]. In general, there exist helicoidal surfaces with conjugate complex principal curvatures, which have no counterparts in R3. We prove this is still true for helicoidal CDPC-surfaces but not true for rotation surfaces in [Formula: see text].
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Schedule a callMore From: International Journal of Geometric Methods in Modern Physics
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