Polynomial Translation Weingarten Surfaces in 3-dimensional Euclidean space
classification
🧮 math.DG
keywords
surfacestranslationweingarteninvolvinganalyzeclassifycurvaturedimensional
read the original abstract
In this paper we will classify those translation surfaces in E3 involving polynomials which are Weingarten surfaces. We analyze Weingarten translation surfaces satisfying 2aH + bK = 0. We study also other types of translation surfaces, involving power functions, for which the second Gaussian curvature vanishes.
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