Minimal homothetical and translation lightlike graphs in R q n + 2 " role="presentation" style="position: relative;"> R n + 2 q R q n + 2 \mathbb{R} _{q}^{n+2}

AIMS Mathematics

article

Derya Sağlam¹ 

[1] Kırıkkale University, Faculty of Art and Science, Department of Mathematics

关键词: lightlike hypersurfaces;    homothetical graphs;    translation graphs;    semi-Euclidean space;    minimality;   

DOI  :  10.3934/math.2022946

学科分类：地球科学(综合)

来源: AIMS Press

【 摘 要 】

In this paper, homothetical and translation lightlike graphs, which are generalizations of homothetical and translation lightlike hypersurfaces are investigated in the semi-Euclidean space $ \mathbb{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.

【 授权许可】

CC BY