São Paulo Journal of Mathematical Sciences

, Volume 13, Issue 2, pp 663–677 | Cite as

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

  • Luciana F. Martins
  • Kentaro SajiEmail author
  • Keisuke Teramoto
Original Article


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


Singularities Prescribed mean curvature Wave fronts Frontals Cuspidal edges 

Mathematics Subject Classification

57R45 53A10 



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Copyright information

© Instituto de Matemática e Estatística da Universidade de São Paulo 2019

Authors and Affiliations

  1. 1.Departamento de Matemática, Instituto de Biociências, Letras e Ciências ExatasUniversidade Estadual Paulista (Unesp)São José do Rio PretoBrazil
  2. 2.Department of Mathematics, Graduate School of ScienceKobe UniversityKobeJapan
  3. 3.Institute of Mathematics for IndustryKyushu UniversityNishi-kuJapan

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