Courant-Nijenhuis algebroids

被引：0

作者：

Bursztyn, Henrique ^{[1
]}

Drummond, Thiago ^{[2
]}

Netto, Clarice ^{[3
]}

机构：

[1] IMPA, Estr Dona Castorina 110, BR-22460320 Rio De Janeiro, Brazil

[2] Univ Fed Rio de Janeiro, Dept Matemat, Inst Matemat, Caixa Postal 68530, BR-21941909 Rio De Janeiro, RJ, Brazil

[3] Univ Sao Paulo, Inst Matemat & Estat, Rua Matao 1010,Cidade Univ, BR-05508090 Sao Paulo, Brazil

来源：

JOURNAL OF GEOMETRY AND PHYSICS | 2023年 / 192卷

基金：

巴西圣保罗研究基金会;

关键词：

Courant algebroids; Nijenhuis operators; Dirac-Nijenhuis structures; Lie-Nijenhuis bialgebroids; POISSON GEOMETRY; LIE; QUASI;

D O I：

10.1016/j.geomphys.2023.104923

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We introduce Courant 1-derivations, which describe a compatibility between Courant algebroids and linear (1,1)-tensor fields and lead to the notion of Courant-Nijenhuis algebroids. We provide examples of Courant 1-derivations on exact Courant algebroids and show that holomorphic Courant algebroids can be viewed as special types of CourantNijenhuis algebroids. By considering Dirac structures, one recovers the Dirac-Nijenhuis structures of [5] (in the special case of the standard Courant algebroid) and obtains an equivalent description of Lie-Nijenhuis bialgebroids [9] via Manin triples.& COPY; 2023 Elsevier B.V. All rights reserved.

引用

页数：19

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