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

Abstract

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

arXiv comment17 pages, 2 figures

References in corpus (4)

• Singularities of flat fronts in hyperbolic 3-space
• Isometric deformations of wave fronts at non-degenerate singular points
• On the flat geometry of the cuspidal edge
• Application of a unified Kenmotsu-type formula for surfaces in Euclidean or Lorentzian three-space

Cited by in corpus (1)

• The fundamental theorem for singular surfaces with limiting tangent planes