F B Estabrook and H D Wahlquist 1989 Class. Quantum Grav. 6 263 doi:10.1088/0264-9381/6/3/008
F B Estabrook and H D Wahlquist
Show affiliationsExterior differential ideals are discussed, and sets of invariant generators presented, for Riemannian, conformal and projective geometries, and for specialisations such as Ricci-flat, self-dual and Einstein-Maxwell theories. The Cartan characteristic integers are explicitly calculated, and involutory basis forms found, for each of these (specialised to four dimensions), exposing their algebraic structure and showing how they generate well-posed sets of partial differential equations.
02.40.Hw Classical differential geometry
02.40.Dr Euclidean and projective geometries
02.40.Ky Riemannian geometries
04.40.Nr Einstein-Maxwell spacetimes, spacetimes with fluids, radiation or classical fields
53A20 Projective differential geometry
57R22 Topology of vector bundles and fiber bundles (See also 55Rxx)
83C22 Einstein-Maxwell equations
Issue 3 (March 1989)
F B Estabrook and H D Wahlquist 1989 Class. Quantum Grav. 6 263
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