A complete classification of four-dimensional paraKahler Lie algebras

被引：8

作者：

Calvaruso, Giovanni ^{[1
]}

机构：

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

来源：

COMPLEX MANIFOLDS | 2015年 / 2卷 / 01期

关键词：

Lie algebras; paraKahler structures; pseudo-Riemannian homogeneous spaces;

D O I：

10.2478/coma-2015-0001

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider paraKahler Lie algebras, that is, even-dimensional Lie algebras g equipped with a pair (J, g), where J is a paracomplex structure and g a pseudo-Riemannian metric, such that the fundamental 2-form Omega(X, Y) = g(X, JY) is symplectic. A complete classification is obtained in dimension four.

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页码：1 / 10

页数：10

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