RICCI SOLITONS AS LIGHTLIKE HYPERSURFACES ENDOWED WITH A CONCIRCULAR VECTOR FIELD

被引：0

作者：

Arfah, Arfah ^{[1
]}

Tug, Gul ^{[2
]}

机构：

[1] State Univ Makassar, Dept Math, Makassar 90224, Indonesia

[2] Karedeniz Tech Univ, Dept Math, TR-61080 Trabzon, Turkiye

来源：

COMMUNICATIONS OF THE KOREAN MATHEMATICAL SOCIETY | 2025年 / 40卷 / 01期

关键词：

Lightlike hypersurface; concircular vector field; Ricci soliton; screen homothetic; principal curvature;

D O I：

10.4134/CKMS.c230227

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

. In this study, we investigate some properties of the lightlike hypersurfaces endowed with a concircular vector field. We give some conditions related to them for being a Ricci soliton. Also, we give some equations related to such hypersurfaces in an (n + 2)-dimensional semiRiemannian manifold with constant curvature. Lastly, we calculate the principal curvatures of a screen homothetic lightlike hypersurface which is also a Ricci soliton.

引用

页码：195 / 207

页数：13

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