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arxiv: math/0204010 · v4 · submitted 2002-03-31 · 🧮 math.DG · math.SG

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Remarks on the Definition of a Courant Algebroid

Kyousuke Uchino
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classification 🧮 math.DG math.SG
keywords axiomsalgebroidassumptioncourantdefinitionderivationconsistsfive
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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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  1. Generalised Complex and Spinor Relations

    hep-th 2026-03 unverdicted novelty 7.0

    Courant algebroid relations define spinor and Dirac structure relations, with T-duality inducing spinor relations that generalize twisted cohomology isomorphisms and are compatible with Type II supergravity equations.