Parallel and totally geodesic hypersurfaces of non-reductive homogeneous four-manifolds

被引：5

作者：

Calvaruso, Giovanni ^{[1
]}

Storm, Reinier ^{[2
]}

van der Veken, Joeri ^{[2
]}

机构：

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

[2] Katholieke Univ Leuven, Dept Math, Celestijnenlaan 200B,Box 2400, BE-3001 Leuven, Belgium

来源：

MATHEMATISCHE NACHRICHTEN | 2020年 / 293卷 / 09期

关键词：

non-reductive homogeneous spaces; parallel hypersurfaces; pseudo-Riemannian metrics; totally geodesic hypersurfaces; CLASSIFICATION; SURFACES; SOLITONS; GEOMETRY; RICCI;

D O I：

10.1002/mana.201900094

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We classify totally geodesic and parallel hypersurfaces of four-dimensional non-reductive homogeneous pseudo-Riemannian manifolds.

引用

页码：1707 / 1729

页数：23

共 16 条

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