Singularities of a surface given by Kenmotsu-type formula in Euclidean three-space

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arxiv 1804.01671 v2 pith:OPRM6CTG submitted 2018-04-05 math.DG

Luciana F. Martins , Kentaro Saji , Keisuke Teramoto This is my paper · ORCID

classification math.DG

keywords formulagivenkenmotsu-typesingularitiescurvatureeuclideanmeanprescribed

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We study singularities of surfaces which are given by Kenmotsu-type formula with prescribed unbounded mean curvature.

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The fundamental theorem for singular surfaces with limiting tangent planes
math.DG 2019-08 conditional novelty 5.0 of 10

Extends the classical fundamental theorem of surface theory to proper frontals, singular surfaces with empty interior singular set, using a moving-base decomposition and characterizing wave fronts via new relative curvatures.