English

Complete $\lambda$-surfaces in $\mathbb R^3$

Differential Geometry 2018-07-19 v1

Abstract

The purpose of this paper is to study complete λ\lambda-surfaces in Euclidean space R3\mathbb R^3. A complete classification for 2-dimensional complete λ\lambda-surfaces in Euclidean space R3\mathbb R^3 with constant squared norm of the second fundamental form is given.

Keywords

Cite

@article{arxiv.1807.06760,
  title  = {Complete $\lambda$-surfaces in $\mathbb R^3$},
  author = {Qing-Ming Cheng and Guoxin Wei},
  journal= {arXiv preprint arXiv:1807.06760},
  year   = {2018}
}

Comments

19 pages, comments are welcome

R2 v1 2026-06-23T03:05:18.755Z