Abstract
The notion of a Courant algebroid was introduced by Liu, Weinstein, and Xu in 1997. Its definition consists of five axioms and a defining relation for a derivation. It is shown that two of the axioms and the relation (assuming only the Leibniz rule) follow from the rest of the axioms.
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Uchino, K. Remarks on the Definition of a Courant Algebroid. Letters in Mathematical Physics 60, 171–175 (2002). https://doi.org/10.1023/A:1016179410273
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DOI: https://doi.org/10.1023/A:1016179410273