Abstract
In this paper, we obtain the classification theorem for 3-dimensional complete space-like $\lambda$-translators $x:M^{3} \rightarrow \mathbb{R}^{4}_{1}$ with constant norm of the second fundamental form and constant $f_{4} = \sum_{i,j,k,l} h_{ij} h_{jk} h_{kl} h_{li}$ with $h_{ij}$ being the components of the second fundamental form in the Minkowski space $\mathbb{R}^{4}_{1}$.
Funding Statement
The second author was partly supported by grant Nos.12171164, 11771154 of NSFC, by grant No.2019A1515011451 of Natural Science Foundation of Guangdong Province and by GDUPS (2018).
Citation
Zhi LI. Guoxin WEI. "Complete 3-dimensional $\lambda$-translators in the Minkowski space $\mathbb{R}^{4}_{1}$." J. Math. Soc. Japan 75 (1) 119 - 150, January, 2023. https://doi.org/10.2969/jmsj/84858485
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