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Quadrics with finite Chen-type Gauss map

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Title: Quadrics with finite Chen-type Gauss map

Authors: Hamza Alzaareer, Hassan Al-Zoubi, Farhan Abdel-Fattah

Journal: Journal of Prime Research in Mathematics

HEC Recognition History
Category From To
Y 2023-07-01 2024-09-30
Y 2022-07-01 2023-06-30
Y 2021-07-01 2022-06-30
Y 2020-07-01 2021-06-30

Publisher: Abdus Salam School of Mathematical Sciences, GC University

Country: Pakistan

Year: 2022

Volume: 18

Issue: 1

Language: English

Keywords: QuadricsChen type Gauss map

Categories
Algebraic Geometry (13) Geometric Analysis (2) Quadrics (1) Gauss Map (1) Differential Geometry (14)

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

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