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On the Complete 2-Dimensional λ-Translators with a Second Fundamental form of Constant Length

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Abstract

In this article we study the two-dimensional complete λ-translators immersed in the Euclidean space ℝ3 and Minkovski space ℝ31 . We obtain two classification theorems: one for two-dimensional complete λ-translators x: M2 → ℝ3 and one for two-dimensional complete space-like λ-translators x: M2 → ℝ31 , with a second fundamental form of constant length.

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Authors and Affiliations

  1. School of Mathematics and Information Sciences, Henan Normal University, Xinxiang, 453007, China

    Xingxiao Li, Ruina Qiao & Yangyang Liu

Authors
  1. Xingxiao Li
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  2. Ruina Qiao
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  3. Yangyang Liu
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Corresponding author

Correspondence to Xingxiao Li.

Additional information

Supported by Foundation of Natural Sciences of China (11671121, 11871197 and 11971153).

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Li, X., Qiao, R. & Liu, Y. On the Complete 2-Dimensional λ-Translators with a Second Fundamental form of Constant Length. Acta Math Sci 40, 1897–1914 (2020). https://doi.org/10.1007/s10473-020-0618-3

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  • DOI: https://doi.org/10.1007/s10473-020-0618-3

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