Journal of Prime Research in Mathematics

# Quadrics with finite Chen-type Gauss map

Hamza Alzaareer$$^{a,*}$$, Hassan Al-Zoubi$$^a$$, Farhan Abdel-Fattah$$^b$$

$$^a$$Department of Mathematics, Al-Zaytoonah University of Jordan, P.O. Box 130, Amman, Jordan 11733.

$$^b$$Department of Cyber Security, Al-Zaytoonah University of Jordan, P.O. Box 130, Amman, Jordan 11733.

Correspondence should be addressed to: : h.alzaareer@zuj.edu.jo

### Abstract

In this article, we investigate the family of quadric surfaces in E3 according to its finite type Gauss map.We prove that spheres, circular cylinders, and planes are the only quadric surfaces with finite Chen type Gauss map corresponding to the first fundamental form I

#### Keywords:

Surfaces of finite Chen-type, Surfaces in the Euclidean 3-space, Beltrami-Laplace operator,Quadric surfaces.