双曲超曲面与费马型函数方程

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

数学季刊 ›› 2025, Vol. 40 ›› Issue (4): 408-416.doi: 10.13371/j.cnki.chin.q.j.m.2025.04.007

双曲超曲面与费马型函数方程

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

收稿日期:2025-06-05 出版日期:2025-12-30 发布日期:2025-12-30
作者简介: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.
基金资助:
Supported by the National Natural Foundation of China (Grant No. 12361028) and the Foundation of Education Department of Jiangxi (Grant Nos. GJJ212305 and GJJ2202228).

Hyperbolic Hypersurfaces and Fermat Type Functional Equation#br#

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

Received:2025-06-05 Online:2025-12-30 Published:2025-12-30
About author: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.
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).

摘要/Abstract

摘要： 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.

关键词: Hyperbolicity, Hypersurface, Holomorphic map, Fermat functional equation

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

中图分类号:

O187.1

陶思俊, 谢利兵, 陈裕先. 双曲超曲面与费马型函数方程[J]. 数学季刊, 2025, 40(4): 408-416.

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.

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双曲超曲面与费马型函数方程

Hyperbolic Hypersurfaces and Fermat Type Functional Equation#br#

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