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Quadrics with finite Chen-type Gauss map

Author(s)
Hamza Alzaareer Department of Mathematics, Al-Zaytoonah University of Jordan, Amman, Jordan
Hassan Al-Zoubi Department of Mathematics, Al-Zaytoonah University of Jordan, Amman, Jordan
Farhan Abdel-Fattah Department of Cyber Security, Al-Zaytoonah University of Jordan, Amman, Jordan
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.
Publication Details
Page(s) 96-107
DOI DOI not available
Published Journal: Journal of Prime Research in Mathematics, Volume: 18, Issue: 1, Year: 2022

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