Abstract
In 1991, Chen proposed a conjecture which is the relationship between biharmonic submanifolds and harmonic submanifolds in Euclidean space and quite a few related studies have supported it. Around the same time, it was proved that Chen's conjecture does not extend to submanifolds in Minkowski space. In this paper, as part of these researches, we investigate biharmonic marginally trapped ruled surfaces in Minkowski $m$-space and then construct some examples about them in which Chen's conjecture does not hold.
Funding Statement
Jung was supported by Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education (2021R1I1A1A01053288). Kim was supported by Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education (NRF-2020R1I1A3051852).
Acknowledgments
The authors would like to express their sincere thanks to the referees who suggested valuable comments to improve the paper.
Citation
Sun Mi Jung. Young Ho Kim. "Marginally Trapped Ruled Surfaces and Their Gauss Map in Minkowski Space." Taiwanese J. Math. Advance Publication 1 - 19, 2024. https://doi.org/10.11650/tjm/240403
Information
