English

On biconservative surfaces in Euclidean spaces

Differential Geometry 2017-05-23 v2

Abstract

In this paper, we study biconservative surfaces with parallel normalized mean curvature vector in E4\mathbb{E}^4. We obtain complete local classification in E4\mathbb{E}^4 for a biconservative PNMCV surface. We also give an example to show the existence of PNMCV biconservative surfaces in E4\mathbb{E}^4.

Keywords

Cite

@article{arxiv.1704.05270,
  title  = {On biconservative surfaces in Euclidean spaces},
  author = {Rüya Yeğin Şen and Nurettin Cenk Turgay},
  journal= {arXiv preprint arXiv:1704.05270},
  year   = {2017}
}
R2 v1 2026-06-22T19:19:55.871Z