English

On surfaces endowed with canonical principal direction in Euclidean spaces

Differential Geometry 2018-04-16 v1

Abstract

In this paper, we introduce canonical principal direction (CPD) submanifolds with higher codimension in Euclidean spaces. We obtain the complete classification of surfaces endowed with CPD in the Euclidean 4-space.

Keywords

Cite

@article{arxiv.1804.04705,
  title  = {On surfaces endowed with canonical principal direction in Euclidean spaces},
  author = {Alev Kelleci and Nurettin Cenk Turgay and Mahmut Ergüt},
  journal= {arXiv preprint arXiv:1804.04705},
  year   = {2018}
}

Comments

11 pages. arXiv admin note: text overlap with arXiv:1804.00721