Globally subanalytic CMC surfaces in $\mathbb{R}^3$

João Lucas M. Barbosa; Lev Birbrair; Manfredo P. do Carmo; Alexandre Fernandes

Globally subanalytic CMC surfaces in $\mathbb{R}^3$

Differential Geometry 2014-05-06 v1

Authors: João Lucas M. Barbosa , Lev Birbrair , Manfredo P. do Carmo , Alexandre Fernandes

Abstract

We prove that globally subanalytic nonsingular CMC surfaces of $\mathbb{R}^3$ are only planes, round spheres or right circular cylinders

Keywords

surfaces and embeddings

Cite

@article{arxiv.1405.0725,
  title  = {Globally subanalytic CMC surfaces in $\mathbb{R}^3$},
  author = {João Lucas M. Barbosa and Lev Birbrair and Manfredo P. do Carmo and Alexandre Fernandes},
  journal= {arXiv preprint arXiv:1405.0725},
  year   = {2014}
}