TY - JOUR ID - 2239 TI - DIRAC STRUCTURES JO - Iranian Journal of Science JA - ISTT LA - en SN - 2731-8095 AU - SHAFIEI DEH ABAD, A. AD - School of Mathematics, Statistics and Computer Science, University of Tehran, Tehran, I. R. of Iran Y1 - 2008 PY - 2008 VL - 32 IS - 1 SP - 33 EP - 44 KW - Dirac structure KW - Hermitian module KW - Hilbert module KW - vector bundle DO - 10.22099/ijsts.2008.2239 N2 - In this paper we introduce the concept of Dirac structures on (Hermitian) modules and vectorbundles and deduce some of their properties. Among other things we prove that there is a one to onecorrespondence between the set of all Dirac structures on a (Hermitian) module and the group of allautomorphisms 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. UR - https://ijsts.shirazu.ac.ir/article_2239.html L1 - https://ijsts.shirazu.ac.ir/article_2239_ec8e645e2e54512fcf6f5038521f36fe.pdf ER -