Split Courant algebroids as L∞-structures

Abstract We show that split Courant algebroids, i.e., those defined on a Whitney sum A ⊕ A ∗ , are in a one-to-one correspondence with multiplicative curved L ∞ -algebras. This one-to-one correspondence extends to Nijenhuis morphisms and behaves well under the operation of twisting by a bivector.