Fecko, Marián Space-time decompositions via differential forms. (English) Zbl 0948.83006 Slovák, Jan (ed.) et al., Proceedings of the 17th winter school “Geometry and physics”, Srní, Czech Republic, January 11-18, 1997. Palermo: Circolo Matematico di Palermo, Suppl. Rend. Circ. Mat. Palermo, II. Ser. 54, 33-43 (1998). The author presents a simple method (by using the standard theory of connections on principle bundles) of \((3+1)\)-decomposition of the physical equations written in terms of differential forms on a 4-dimensional spacetime of general relativity, with respect to a general observer. Finally, the author suggests possible applications of such a decomposition to the Maxwell theory.For the entire collection see [Zbl 0904.00040]. Reviewer: K.L.Duggal (Windsor/Ontario) MSC: 83C05 Einstein’s equations (general structure, canonical formalism, Cauchy problems) 53C50 Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics 58A10 Differential forms in global analysis Keywords:differential forms; curved spacetime; projective operator; Maxwell equations; \((3+1)\)-decomposition of the physical equations × Cite Format Result Cite Review PDF