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Matched pairs of Courant algebroids
Affiliation:1. zollsoft GmbH, Jena, Germany;2. Department of Mathematics, Penn State University, University Park, PA 16802, USA
Abstract:We introduce the notion of matched pairs of Courant algebroids and give several examples arising naturally from complex manifolds, holomorphic Courant algebroids, and certain regular Courant algebroids. We also consider the matched sum of two Dirac subbundles, one in each of two Courant algebroids forming a matched pair.
Keywords:Courant algebroid  Matched pair  Matched sum
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