Courant algebroid
In differential geometry, a field of mathematics, a Courant algebroid is a vector bundle together with an inner product and a compatible bracket more general than that of a Lie algebroid.
It is named after Theodore Courant, who had implicitly devised in 1990 the standard prototype of Courant algebroid through his discovery of a skew-symmetric bracket on , called Courant bracket today, which fails to satisfy the Jacobi identity. The general notion of Courant algebroid was introduced by Zhang-Ju Liu, Alan Weinstein and Ping Xu in their investigation of doubles of Lie bialgebroids in 1997.
