English

On Surfaces of finite Chen-type

Differential Geometry 2015-11-04 v1

Abstract

We investigate some relations concerning the first and the second Beltrami operators corresponding to the fundamental forms I, II, III of a surface in the three-dimensional Euclidean space and we study surfaces which are of finite type in the sense of B.-Y. Chen with respect to the fundamental forms II and III.

Keywords

Cite

@article{arxiv.1511.00960,
  title  = {On Surfaces of finite Chen-type},
  author = {Stylianos Stamatakis and Hassan Al-Zoubi},
  journal= {arXiv preprint arXiv:1511.00960},
  year   = {2015}
}

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13 pages