D.H. Delphenich

TL;DR: In this paper, it was shown that not all linear electromagnetic constitutive laws will define almost-complex structures on the bundle of 2-forms on the spacetime manifold when composed with the Poincare duality isomorphism.

TL;DR: In this article, the transition from point mechanics to wave mechanics is discussed in the context of complex projective geometry, and it is shown that the geometrical issues are more general than electromagnetism, namely, they pertain to the transition between point mechanics and wave mechanics.

TL;DR: In this article, the equations of pre-metric electromagnetism are formulated as an exterior differential system on the bundle of exterior differential 2-forms over the spacetime manifold, and the general form for the symmetry equations of the system is computed and then specialized to various possible forms for an electromagnetic constitutive law, namely, uniform linear, non-uniform linear, and uniform nonlinear.

TL;DR: In this article, an alternative to the representation of complex relativity by self-dual complex 2-forms on the spacetime manifold is presented by assuming that the bundle of real 2-form is given an almost-complex structure.