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Remarks on the Definition of a Courant Algebroid

2002/03/31 by Kyousuke Uchino, Uchino, Kyousuke
Mathematics · #Differential Geometry (math.DG) #FOS: Mathematics #Symplectic Geometry (math.SG) #math.DG #math.SG

paper · pdf · doi:10.48550/arxiv.math/0204010

4 pages

arxiv created 2002/04/27 · arxiv updated 2009/11/30

Abstract

The notion of Courant algebroid was introduced by Liu, Weinstein and Xu in 1997. Its definition consists of five axioms and an assumption for a derivation. It is shown that two of the axioms and the assumption for the derivation follow from the rest of the axioms.

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