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Research Article | Open Access

Minimal homothetical and translation lightlike graphs in R q n + 2

Kırıkkale University, Faculty of Art and Science, Department of Mathematics, Turkey
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Abstract

In this paper, homothetical and translation lightlike graphs, which are generalizations of homothetical and translation lightlike hypersurfaces are investigated in the semi-Euclidean space R q n + 2 , respectively. We prove that all homothetical and all translation lightlike graphs are locally the hyperplanes. According to this fact, both of these graphs are minimal.

Keywords

lightlike hypersurfaceshomothetical graphstranslation graphssemi-Euclidean spaceminimality
CLC number: 53B25, 53B30

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AIMS Mathematics
Volume 7 Issue 9,
September 2022
Pages 17198-17209
DOI: 10.3934/math.2022946

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Cite this article:
Sağlam D. Minimal homothetical and translation lightlike graphs in R q n + 2 . AIMS Mathematics, 2022, 7(9): 17198-17209. https://doi.org/10.3934/math.2022946

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Received: 30 May 2022
Revised: 13 July 2022
Accepted: 20 July 2022
Published: 15 September 2022
©2022 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)