Generalized forms and vector fields
نویسندگان
چکیده
The generalized vector is defined on an n dimensional manifold. Interior product, Lie derivative acting on generalized p-forms, −1 ≤ p ≤ n are introduced. Generalized commutator of two generalized vectors are defined. Adding a correction term to Cartan’s formula the generalized Lie derivative’s action on a generalized vector field is defined. We explore various identities of the generalized Lie derivative with respect to generalized vector fields, and discuss an application. PACS numbers: 02.40.Hw, 45.10.Na, 45.20.Jj
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