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A Bernstein type result of translating solitons

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Abstract

We prove a Bernstein type theorem for complete translating solitons of the mean curvature flow, whose images of their Gauss maps are contained in an appropriate neighborhood of the Grassmannian manifold.

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Acknowledgements

This work is partially supported by NSFC (No. 11771339), and Hubei Provincial Natural Science Foundation of China (No. 2021CFB400). The author would like to thank the referee for valuable suggestions which improved the paper.

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Correspondence to Hongbing Qiu.

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Communicated by Andrea Mondino.

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Qiu, H. A Bernstein type result of translating solitons. Calc. Var. 61, 228 (2022). https://doi.org/10.1007/s00526-022-02352-y

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