GENERALIZED SYMPLECTIC GOLDEN MANIFOLDS AND LIE GROUPOIDS

Abstract

By considering the notion of Golden manifold and natural
symplectic form on a generalized tangent bundle, we introduce generalized
symplectic Golden structures on manifolds and obtain integrability condi-
tions in terms of bivector fields, 2-forms, 1-forms and endomorphisms on
manifolds and investigate isotropic subbundles. We also find certain rela-
tions between the integrability conditions of generalized symplectic Golden
manifolds and Lie Groupoids which are important in mechanics as config-
uration space.