Ben MacAdam

Title: Cartan’s calculus for Sector Forms
Abstract: Cartan’s calculus of differential forms refers to a collection of operators on differential forms – the exterior derivative, Lie derivative, and interior product – and identities that they satisfy. The calculus of forms is particularly useful in mechanics. In this talk, we show that Cartan’s calculus of forms may be formulated in terms of J.E. White’s sector forms. Definitions for an interior product and Lie Derivative of sector forms will be presented, it will be shown these satisfy the usual identities from Cartan’s calculus.