DIRAC STRUCTURES

Document Type: Regular Paper

Author

School of Mathematics, Statistics and Computer Science, University of Tehran, Tehran, I. R. of Iran

Abstract

In this paper we introduce the concept of Dirac structures on (Hermitian) modules and vector
bundles and deduce some of their properties. Among other things we prove that there is a one to one
correspondence between the set of all Dirac structures on a (Hermitian) module and the group of all
automorphisms of the module. This correspondence enables us to represent Dirac structures on (Hermitian)
modules and on vector bundles in a very suitable form and define induced Dirac structures in a natural way.

Keywords