A Dimakis and F Muller-Hoissen 1991 Class. Quantum Grav. 8 2093 doi:10.1088/0264-9381/8/11/018
A Dimakis and F Muller-Hoissen
Show affiliationsThe authors present a concise introduction to Clifford algebraic techniques and calculus with Clifford-algebra-valued differential forms (which they call 'clifforms'). Some examples of applications demonstrate the efficiency of these methods. These comprise Dirac-Kahler operators, Lie group and Kaluza-Klein geometry, Gauss-Bonnet Lagrangians, their dimensional reduction, and on-minimal couplings of gravity and an Abelian gauge field generated in this way. Furthermore, they formulate the four-dimensional Einstein equations as a clifform equation and relate it to certain spinor equations.
04.20.-q Classical general relativity
02.20.Qs General properties, structure, and representation of Lie groups
04.50.-h Higher-dimensional gravity and other theories of gravity
83C05 Einstein's equations (general structure, canonical formalism, Cauchy problems)
Issue 11 (November 1991)
A Dimakis and F Muller-Hoissen 1991 Class. Quantum Grav. 8 2093
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