Bulletin of the
Korean Mathematical Society
BKMS
Article
ALL ARTICLES
View
Bull. Korean Math. Soc. 2024; 61(2): 451-467
Online first article March 22, 2024 Printed March 31, 2024
https://doi.org/10.4134/BKMS.b230144
Copyright © The Korean Mathematical Society.
Bj\"{o}rling problem for zero mean curvature surfaces in the three-dimensional light cone
Joseph Cho, So Young Kim, Dami Lee, Wonjoo Lee, Seong-Deog Yang
Institute of Discrete Mathematics and Geometry; Korea University; Indiana University; Korea University; Korea University
We solve the Bj\"{o}rling problem for zero mean curvature surfaces in the three-dimensional light cone. As an application, we construct and classify all rotational zero mean curvature surfaces.
Keywords: Zero mean curvature surfaces, Bj\"orling representation
MSC numbers: Primary 53A10; Secondary 53B30
Supported by: The last author gratefully acknowledges the support from NRF of Korea (NRF 2020R1F1A1A01074585).
Article Tools
Stats or Metrics
Share this article on :
Related articles in BKMS
© 2022. The Korean Mathematical Society. Powered by INFOrang Co., Ltd