Chinese Quarterly Journal of Mathematics ›› 2025, Vol. 40 ›› Issue (4): 408-416.doi: 10.13371/j.cnki.chin.q.j.m.2025.04.007

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Hyperbolic Hypersurfaces and Fermat Type Functional Equation#br#

  

  1. 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).

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

CLC Number: