Weakly symmetric groups of Heisenberg type

被引：13

作者：

Berndt, J

Ricci, F

Vanhecke, L

机构：

[1] Univ Hull, Dept Math, Kingston Upon Hull HU6 7RX, N Humberside, England

[2] Politecn Torino, Dipartimento Matemat, I-10129 Turin, Italy

[3] Katholieke Univ Leuven, Dept Math, B-3001 Heverlee, Belgium

来源：

DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS | 1998年 / 8卷 / 03期

关键词：

H-type groups; generalized Heisenberg groups; weakly symmetric spaces; commutative spaces;

D O I：

10.1016/S0926-2245(98)00014-X

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove that an H-type group is weakly symmetric if and only if it is commutative. As a consequence we get the classification of all weakly symmetric H-type groups.

引用

页码：275 / 284

页数：10

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