Hyperbolic Hypersurfaces and Fermat Type Functional Equation#br#

TAO Si-jun, XIE Li-bing, CHEN Yu-xian

doi:10.13371/j.cnki.chin.q.j.m.2025.04.007

Chinese Quarterly Journal of Mathematics >

2025 , Vol. 40 >Issue 4: 408 - 416

DOI: https://doi.org/10.13371/j.cnki.chin.q.j.m.2025.04.007

Hyperbolic Hypersurfaces and Fermat Type Functional Equation#br#

Expand

1. School of Mathematics and Computer, Xinyu University, Xinyu 338000, China; 2. School of Mathematical Sciences, Beijing University of Posts and Telecommunications, Beijing 102206, China

TAO Si-jun (1980-), male, native of Jinxian, Jiangxi, associate professor of Xinyu University, engages in applied mathematics; XIE Li-bing (1994-), male, native of Xinyu, Jiangxi, lecturer of Xinyu University and doctoral student of Beijing University of Posts and Telecommunications, engages in complex analysis; CHEN Yu-xian (1968-), male, native of Yongxin, Jiangxi, professor of Xinyu University, engages in complex analysis.

XIE Li-bing (1994-), male, native of Xinyu, Jiangxi, lecturer of Xinyu University and doctoral student of Beijing University of Posts and Telecommunications, engages in complex analysis;

Received date: 2025-06-05

Online published: 2025-12-30

Supported by

Supported by the National Natural Foundation of China (Grant No. 12361028) and the Foundation of Education Department of Jiangxi (Grant Nos. GJJ212305 and GJJ2202228).

Fold

Abstract

In this paper, we construct new examples of hyperbolic metasurfaces in CP³ and CP⁴, and discusses the existence of solutions for a class of Fermat type functional equations.

Key words： Hyperbolicity; Hypersurface; Holomorphic map; Fermat functional equation

Cite this article

TAO Si-jun, XIE Li-bing, CHEN Yu-xian . Hyperbolic Hypersurfaces and Fermat Type Functional Equation#br#[J]. Chinese Quarterly Journal of Mathematics, 2025 , 40(4) : 408 -416 . DOI: 10.13371/j.cnki.chin.q.j.m.2025.04.007

Options

Outlines

模态框（Modal）标题

Abstract

Cite this article