Electronic Resource
College Park, Md.
:
American Institute of Physics (AIP)
Journal of Mathematical Physics
41 (2000), S. 5598-5614
ISSN:
1089-7658
Source:
AIP Digital Archive
Topics:
Mathematics
,
Physics
Notes:
We investigate a particular realization of generalized q-differential calculus of exterior forms on a smooth manifold based on the assumption that dN=0 while dk≠0 for k〈N. It implies the existence of cyclic commutation relations for the differentials of first order and their generalization for the differentials of higher order. Special attention is paid to the cases N=3 and N=4. A covariant basis of the algebra of such q-grade forms is introduced, and the analogs of torsion and curvature of higher order are considered. We also study a ZN-graded exterior calculus on a generalized Clifford algebra. © 2000 American Institute of Physics.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1063/1.533428
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