Alekseevskian spaces

被引：44

作者：

Cortes, V ^{[1
]}

机构：

[1] UNIV BONN,INST MATH,D-53115 BONN,GERMANY

来源：

DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS | 1996年 / 6卷 / 02期

关键词：

homogeneous quaternionic Kahler manifolds;

D O I：

10.1016/0926-2245(96)89146-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

D.V. Alekseevsky's classification of quaternionic Kahlerian solvmanifolds (1975) is completed, confirming results which were obtained recently by the theoretical physicists B. de Wit and A. Van Proeyen in the context of supergravity. It is further shown that an Alekseevsky space is symmetric if and only if its sectional curvature is non-positive. This is an analogue of a well known theorem due to J.E. D'Atri and I. Dotti Miatello, which characterizes bounded symmetric domains by non-positive curvature.

引用

页码：129 / 168

页数：40

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