P.J.!Ryan's problem in semi-Riemannian space forms

被引：12

作者：

Defever, F

Deszcz, R

Sentürk, Z

Verstraelen, L

Yaprak, S

机构：

[1] Catholic Univ Louvain, Dept Wiskunde, B-3001 Heverlee, Belgium

[2] Agr Univ Wroclaw, Dept Math, PL-50357 Wroclaw, Poland

[3] Istanbul Tech Univ, Dept Math, TR-80626 Istanbul, Turkey

[4] KU Brussel, B-1080 Brussels, Belgium

[5] Ankara Univ, Dept Math, TR-06100 Ankara, Turkey

来源：

GLASGOW MATHEMATICAL JOURNAL | 1999年 / 41卷

关键词：

D O I：

10.1017/S0017089599970969

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove that the conditions R . R = 0 and R . S = 0 are equivalent for hypersurfaces of a 5-dimensional semi-Riemannian space form N-5(c). This solves a problem by P.J. Ryan in the case of hypersurfaces of dimension 4 in semi-Riemannian space forms.

引用

页码：271 / 281

页数：11

共 19 条

[1] On semisymmetric para-Kahler manifolds [J].