Rotational Surfaces in Terms of Coordinate Finite Chen II-Type

Alzaareer, Hamza; Al-Zoubi, Hassan

doi:10.28919/cpr-pajm/3-23

Research article

Rotational Surfaces in Terms of Coordinate Finite Chen II-Type

Hamza Alzaareer, Hassan Al-Zoubi

Abstract

In this study, we first establish several formulae according to the first and second Beltrami operators. We discuss the class of surfaces of revolution in the 3-dimensional Euclidean space E³ without parabolic points, in which the position vector X satisfies ∆^IIX = DX, with ∆^II is the Laplace operator of the metric II of the surface and D is a square matrix of order 3. We prove that surfaces satisfying the preceding relation are either part of a sphere or catenoid.

How to cite

H. Alzaareer, H. Al-Zoubi, Rotational Surfaces in Terms of Coordinate Finite Chen II-Type, Pan-Amer. J. Math. 3 (2024), 23. https://doi.org/10.28919/cpr-pajm/3-23

BibTeX

@article{Alzaareer2024,
  author  = {Alzaareer, Hamza and Al-Zoubi, Hassan},
  title   = {Rotational Surfaces in Terms of Coordinate Finite Chen II-Type},
  journal = {Pan-Amer. J. Math.},
  volume  = {3},
  year    = {2024},
  pages   = {23},
  doi     = {10.28919/cpr-pajm/3-23}
}