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Generalized forms and vector fields

Saikat Chatterjee·Amitabha Lahiri·Partha Guha
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Abstract

The generalized vector is defined on an $n$ dimensional manifold. Interior product, Lie derivative acting on generalized $p$-forms, $-1\le p\le n$ 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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Saikat Chatterjee, Amitabha Lahiri, Partha Guha. 2006-11-29. Generalized forms and vector fields. https://doi.org/10.1088/0305-4470/39/50/010

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