LIE ALGEBROIDS GENERATED BY COHOMOLOGY OPERATORS

被引：1

作者：

Garcia-Beltran, Dennise ^{[1
]}

Vallejo, Jose A. ^{[2
]}

Vorobiev, Yurii ^{[1
]}

机构：

[1] Univ Sonora, Dept Matemat, Hermosillo 83000, Son, Mexico

[2] Univ Autonoma San Luis Potosi, Fac Ciencias, San Luis Potosi 78290, SLP, Mexico

来源：

JOURNAL OF GEOMETRIC MECHANICS | 2015年 / 7卷 / 03期

关键词：

Lie algebroids; cohomology operators; product structures; complex structures; tangent structures; sprays; DEFORMATIONS;

D O I：

10.3934/jgm.2015.7.295

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

By studying the Frolicher-Nijenhuis decomposition of cohomology operators (that is, derivations D of the exterior algebra Omega (M) with Z degree 1 and D-2 = 0), we describe new examples of Lie algebroid structures on the tangent bundle TM (and its complexification (TM)-M-C) constructed from pre-existing geometric ones such as foliations, complex, product or tangent structures. We also describe a class of Lie algebroids on tangent bundles associated to idem-potent endomorphisms with nontrivial Nijenhuis torsion.

引用

页码：295 / 315

页数：21

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