VB-Courant algebroids, E-Courant algebroids and generalized geometry

Honglei Lang, Yunhe Sheng, Aïssa Wade

Research output: Contribution to journalArticle

1 Scopus citations

Abstract

In this paper, we first discuss the relation between VB-Courant algebroids and E-Courant algebroids, and we construct some examples of E-Courant algebroids. Then we introduce the notion of a generalized complex structure on an E-Courant algebroid, unifying the usual generalized complex structures on even-dimensional manifolds and generalized contact structures on odddimensional manifolds. Moreover, we study generalized complex structures on an omni-Lie algebroid in detail. In particular, we show that generalized complex structures on an omni-Lie algebra gl(V) ⊕ V correspond to complex Lie algebra structures on V.

Original languageEnglish (US)
Pages (from-to)588-607
Number of pages20
JournalCanadian Mathematical Bulletin
Volume61
Issue number3
DOIs
StatePublished - Sep 2018

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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