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Determination of all syzygies for the dependent polynomial invariants of the Riemann Tensor. III. mixed invariants of arbitrary degree in the Ricci Spinor

Lim, Allan and Carminati, John 2007, Determination of all syzygies for the dependent polynomial invariants of the Riemann Tensor. III. mixed invariants of arbitrary degree in the Ricci Spinor, Journal of mathematical physics, vol. 48, no. 8, pp. 083503-1-083503-35.


Title Determination of all syzygies for the dependent polynomial invariants of the Riemann Tensor. III. mixed invariants of arbitrary degree in the Ricci Spinor
Author(s) Lim, Allan
Carminati, John
Journal name Journal of mathematical physics
Volume number 48
Issue number 8
Start page 083503-1
End page 083503-35
Publisher American Institute of Physics
Place of publication New York, N.Y.
Publication date 2007-07
ISSN 0022-2488
1089-7658
Keyword(s) Riemann tensor invariants
polynomial syzygies
Summary In this paper, we rigorously prove that the complete set of Riemann tensor invariants given by Sneddon [J. Math. Phys. 40, 5905 (1999)] is both minimal and complete. Furthermore, we provide a two-stage algorithm for the explicit construction of polynomial syzygies relating any dependent Riemann tensor invariant to members of the complete set.
Language eng
Field of Research 010102 Algebraic and Differential Geometry
Socio Economic Objective 970101 Expanding Knowledge in the Mathematical Sciences
HERDC Research category C1 Refereed article in a scholarly journal
Copyright notice ©2007, American Institute of Physics
Persistent URL http://hdl.handle.net/10536/DRO/DU:30007551

Document type: Journal Article
Collection: School of Engineering and Information Technology
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