Abstract
In this paper, we first recall the definition of $\Lambda$-submanifolds. Then we prove a Bernstein type result for 2-dimensional entire graphic $\Lambda$-submanifolds in $\mathbf{R}^{4}$. This theorem can be viewed as a generalization of Zhou's Bernstein type theorem for 2-dimensional self-shrinkers in $\mathbf{R}^{4}$.
Funding Statement
Research supported by the China Postdoctoral Science Foundation, Grant No. 2019M652683, and the National Natural Science Foundation of China Nos. 12171423, 12071424.
Acknowledgment
The authors would like to thank the referees for their valuable comments and suggestions.
Citation
Huijuan Wang. Entao Zhao. "A Bernstein type theorem for entire graphic 2-dimensional $\Lambda$-submanifolds in $\mathbf{R}^{4}$." Kodai Math. J. 45 (2) 237 - 249, June 2022. https://doi.org/10.2996/kmj45202
Information
