Lie and Courant algebroids on foliated manifolds

Izu Vaisman

doi:10.1007/s00574-011-0036-1

Lie and Courant algebroids on foliated manifolds

Izu Vaisman

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

This is an exposition of the subject, which was developed in the author's papers [19, 20]. Various results from the theory of foliations (cohomology, characteristic classes, deformations, etc.) are extended to subalgebroids of Lie algebroids that generalize the tangent integrable distributions. We also suggest a definition of foliated Courant algebroids and give some corresponding results and constructions.

Original language	English
Pages (from-to)	805-830
Number of pages	26
Journal	Bulletin of the Brazilian Mathematical Society
Volume	42
Issue number	4
DOIs	https://doi.org/10.1007/s00574-011-0036-1
State	Published - Dec 2011

Keywords

Courant Algebroid
Foliation
Lie Algebroid

ASJC Scopus subject areas

General Mathematics

Access to Document

10.1007/s00574-011-0036-1

Cite this

@article{dc21163ee63b4f21b6d08353b0795afc,

title = "Lie and Courant algebroids on foliated manifolds",

abstract = "This is an exposition of the subject, which was developed in the author's papers [19, 20]. Various results from the theory of foliations (cohomology, characteristic classes, deformations, etc.) are extended to subalgebroids of Lie algebroids that generalize the tangent integrable distributions. We also suggest a definition of foliated Courant algebroids and give some corresponding results and constructions.",

keywords = "Courant Algebroid, Foliation, Lie Algebroid",

author = "Izu Vaisman",

year = "2011",

month = dec,

doi = "10.1007/s00574-011-0036-1",

language = "English",

volume = "42",

pages = "805--830",

journal = "Bulletin of the Brazilian Mathematical Society",

issn = "1678-7544",

publisher = "Springer New York",

number = "4",

}

TY - JOUR

T1 - Lie and Courant algebroids on foliated manifolds

AU - Vaisman, Izu

PY - 2011/12

Y1 - 2011/12

N2 - This is an exposition of the subject, which was developed in the author's papers [19, 20]. Various results from the theory of foliations (cohomology, characteristic classes, deformations, etc.) are extended to subalgebroids of Lie algebroids that generalize the tangent integrable distributions. We also suggest a definition of foliated Courant algebroids and give some corresponding results and constructions.

AB - This is an exposition of the subject, which was developed in the author's papers [19, 20]. Various results from the theory of foliations (cohomology, characteristic classes, deformations, etc.) are extended to subalgebroids of Lie algebroids that generalize the tangent integrable distributions. We also suggest a definition of foliated Courant algebroids and give some corresponding results and constructions.

KW - Courant Algebroid

KW - Foliation

KW - Lie Algebroid

UR - http://www.scopus.com/inward/record.url?scp=82655183617&partnerID=8YFLogxK

U2 - 10.1007/s00574-011-0036-1

DO - 10.1007/s00574-011-0036-1

M3 - Article

AN - SCOPUS:82655183617

SN - 1678-7544

VL - 42

SP - 805

EP - 830

JO - Bulletin of the Brazilian Mathematical Society

JF - Bulletin of the Brazilian Mathematical Society

IS - 4

ER -

Lie and Courant algebroids on foliated manifolds

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this