Generalized forms and vector fields
Saikat Chatterjee, Amitabha Lahiri, Partha Guha
Abstract
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.
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