Remarks on the Definition of a Courant Algebroid

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.

arXiv comment4 pages

References in corpus (3)

• Courant algebroids, derived brackets and even symplectic supermanifolds
• Courant Algebroids and Strongly Homotopy Lie Algebras
• Non-antisymmetric versions of Nambu-Poisson and Lie algebroids

Cited by in corpus (8)

• Double Field Theory and Membrane Sigma-Models
• Brackets
• Matched pairs of Courant algebroids
• Deformation spaces and normal forms around transversals
• Courant cohomology, Cartan calculus, connections, curvature, characteristic classes
• Dirac Geometry of the Holonomy Fibration
• Exotic Courant algebroids and T-duality
• Dissections and automorphisms of regular Courant algebroids