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Research Article | Open Access

A rigidity result for 2-dimensional λ-translators

Jin Liu, Botao Wang( )
College of Mathematics and Information Science, Henan Normal University, Xinxiang 453007, China
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Abstract

In this paper, we will develop a different technique to study the rigidity of complete λ-translators x : M 2 → R 3 with the non-zero constant gauss curvature in the Euclidean space R 3 .

Keywords

second fundamental formλ-translatorGauss curvaturenon-umbilic pointsmean curvature
CLC number: 53C40, 53E10

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AIMS Mathematics
Volume 8 Issue 10,
October 2023
Pages 24947-24956
DOI: 10.3934/math.20231272

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Liu J, Wang B. A rigidity result for 2-dimensional λ-translators. AIMS Mathematics, 2023, 8(10): 24947-24956. https://doi.org/10.3934/math.20231272

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Received: 02 July 2023
Revised: 14 August 2023
Accepted: 16 August 2023
Published: 15 October 2023
©2023 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)