Generalized vector field
We define generalized vector fields, and contraction and Lie derivatives with respect to them. Generalized commutators are also defined.
math-ph↗
arXiv subjects
Saikat Chatterjee
Publications and source records attributed to Saikat Chatterjee.
Generalized forms and vector fields
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.
math-ph↗