Totally Geodesic and Parallel Hypersurfaces of Cahen-Wallach Spacetimes

被引：0

作者：

Calvaruso, Giovanni ^{[1
]}

Pellegrino, Lorenzo ^{[1
]}

机构：

[1] Univ Salento, Dipartimento Matemat & Fis E De Giorgi, Prov Lecce Arnesano, I-73100 Lecce, Italy

来源：

RESULTS IN MATHEMATICS | 2024年 / 79卷 / 07期

关键词：

Cahen-Wallach spacetimes; totally geodesic hypersurfaces; parallel hypersurfaces; Brinkmann manifolds; minimal and CMC hypersurfaces; COMPLETE CLASSIFICATION; LORENTZ MANIFOLDS; SURFACES;

D O I：

10.1007/s00025-024-02282-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We completely classify and describe totally geodesic hypersurfaces of Cahen-Wallach spacetimes. We also describe parallel hypersurfaces and investigate their geometric properties.

引用

页数：17

共 48 条

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[42] NON-EXISTENCE OF TOTALLY GEODESIC SCREEN DISTRIBUTIONS ON LIGHTLIKE HYPERSURFACES OF INDEFINITE KENMOTSU MANIFOLDS
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[45] Parallel and totally umbilical hypersurfaces of the four-dimensional Thurston geometry Sol04
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[48] Semi-Riemannian hypersurfaces in Ln+1\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mathbb {L}^{n+1}$$\end{document} with a totally geodesic foliation of codimension one
S. M. B. Kashani
M. J. Vanaei
S. M. Yaghoobi
Journal of Geometry, 2019, 110 (2)

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