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 language | English (US) |
|---|---|
| Pages (from-to) | 588-607 |
| Number of pages | 20 |
| Journal | Canadian Mathematical Bulletin |
| Volume | 61 |
| Issue number | 3 |
| DOIs | |
| State | Published - Sep 2018 |
All Science Journal Classification (ASJC) codes
- General Mathematics
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