Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1895500 | Journal of Geometry and Physics | 2016 | 12 Pages |
Abstract
Let (M,J,g,D) be a Norden manifold with the natural canonical connection D and let JÌ be the generalized complex structure on M defined by g and J. We prove that JÌ is D-integrable and we find conditions on the curvature of D under which the ±i-eigenbundles of JÌ, EJÌ1,0, EJÌ0,1, are complex Lie algebroids. Moreover we proove that EJÌ1,0 and (EJÌ1,0)â are canonically isomorphic and this allow us to define the concept of generalized â¯JÌ-operator of (M,J,g,D). Also we describe some generalized holomorphic sections. The class of Kähler-Norden manifolds plays an important role in this paper because for these manifolds EJÌ1,0 and EJÌ0,1 are complex Lie algebroids.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Antonella Nannicini,