DIRAC STRUCTURES ON GENERALIZED RIEMANNIAN MANIFOLDS

被引：0

作者：

Vaisman, Izu ^{[1
]}

机构：

[1] Univ Haifa, Dept Math, Haifa, Israel

来源：

REVUE ROUMAINE DE MATHEMATIQUES PURES ET APPLIQUEES | 2012年 / 57卷 / 02期

关键词：

generalized Riemannian structures; Dirac structures; generalized (para) complex structures; generalized tangent structures;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We characterize the Dirac structures that are parallel with respect to Gualtieri's canonical connection of a generalized Riemannian metric. On the other hand, we discuss Dirac structures that are images of generalized tangent structures. These structures turn out to be Dirac structures that, if seen as Lie algebroids, have a symplectic structure. In particular, if compatibility with a generalized Riemannian metric is required, the symplectic structure is of the Kahler type.

引用

页码：179 / 203

页数：25

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