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math-ph2020★ 12 cited
Generalized Maxwell equations for exterior-algebra multivectors in space-time dimensions
Ivano Colombaro, Josep Font-Segura, Alfonso Martinez
This paper presents an exterior-algebra generalization of electromagnetic fields and source currents as multivectors of grades and respectively in a flat space-time with…
math-ph2020★ 9 cited
An Introduction to Space-Time Exterior Calculus
Ivano Colombaro, Josep Font-Segura, Alfonso Martinez
The basic concepts of exterior calculus for space-time multivectors are presented: interior and exterior products, interior and exterior derivatives, oriented integrals over hypers…