H-twisted Courant algebroids

Abstract

We generalize Hansen--Strobl's definition of $H$-twisted Courant algebroid such that the twist $H$ of the Jacobi identity is a 4-form in the kernel of the anchor map and is closed under a naturally occurring exterior covariant derivative. We give examples and define a cohomology.

10 pages

References in corpus (4)

• Leibniz 2-algebras and twisted Courant algebroids
• H-twisted Lie algebroids
• Modular Classes of Loday Algebroids
• The Pontryagin Class for Pre-Courant Algebroids

Cited by in corpus (4)

• Leibniz 2-algebras and twisted Courant algebroids
• The Pontryagin Class for Pre-Courant Algebroids
• Twisted Courant algebroids and coisotropic Cartan geometries
• 'Anti-Commutable' Pre-Leibniz Algebroids and Admissible Connections