Generalized forms and vector fields

Details Generalized forms and vector fields Generalized forms and vector fields

2006-04-25

arxiv.org/abs/math-ph/0604060v2

J. Phys. A: Math. Gen. 39 (2006) 15435

Physics

Mathematical Physics

10 pages

Scientific paper

10.1088/0305-4470/39/50/010

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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