VB-Courant Algebroids, E-Courant Algebroids and Generalized Geometry
2018 ◽
Vol 61
(3)
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pp. 588-607
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Keyword(s):
AbstractIn 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 odd-dimensional 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.
2014 ◽
Vol 66
(1)
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pp. 31-56
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2011 ◽
Vol 63
(4)
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pp. 938-960
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2007 ◽
Vol 211
(2)
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pp. 726-765
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2005 ◽
Vol 20
(13)
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pp. 985-995
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Keyword(s):
2015 ◽
Vol 98
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pp. 227-241
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2006 ◽
Vol 263
(3)
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pp. 711-722
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2008 ◽
Vol 58
(1)
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pp. 105-121
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