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. 1-35, doi: 10.1063/1.2760342. Attached Files Name Description MIMEType Size Downloads 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 1 End page 35 Total pages 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 DOI 10.1063/1.2760342 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 Collections: Faculty of Science, Engineering and Built Environment School of Engineering and Information Technology Related Links Link Description Connect to published version (restricted access) Go to link with your DU access privileges     Unless expressly stated otherwise, the copyright for items in DRO is owned by the author, with all rights reserved. Versions Version Filter Type Tue, 13 Jan 2009, 08:38:11 EST Fri, 21 May 2010, 09:38:36 EST Tue, 09 Aug 2011, 10:45:42 EST Tue, 09 Aug 2011, 10:46:44 EST Mon, 20 Feb 2012, 14:09:06 EST Thu, 15 May 2014, 08:33:56 EST Filtered Full Citation counts:   Cited 1 times in TR Web of Science Cited 1 times in Scopus Search Google Scholar Access Statistics: 766 Abstract Views, 2 File Downloads  -  Detailed Statistics Created: Mon, 29 Sep 2008, 08:53:25 EST

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