非表示:
キーワード:
General Relativity and Quantum Cosmology, gr-qc,Mathematics, Analysis of PDEs, math.AP,
要旨:
Using systematic calculations in spinor language, we obtain simple
descriptions of the second order symmetry operators for the conformal wave
equation, the Dirac-Weyl equation and the Maxwell equation on a curved four
dimensional Lorentzian manifold. The conditions for existence of symmetry
operators for the different equations are seen to be related. Computer algebra
tools have been developed and used to systematically reduce the equations to a
form which allows geometrical interpretation.
