Mesonic differential forms (Q2443921)

The article provides an introduction to mesonic differential forms. Mesonic differential forms are \(k\)-linear forms on the tangent bundle that are alternate with respect to the variables of odd rank and also alternate with the variables of even rank. The author recalls the definitions of meson algebras and mesonic differential forms. Afterwards, the notion of mesonic differentiation of a mesonic form is introduced. Moreover, the relation between mesonic differentiation of a mesonic form and the exterior differentiation of an exterior form is discussed. Finally, some applications of the results to Riemannian geometry are presented.