riemann curvature tensor and closed geodesic paths

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Riemann curvature tensor and closed geodesic paths Ralph E. Morganstern Citation: American Journal of Physics 45, 1173 (1977); doi: 10.1119/1.10679 View online: http://dx.doi.org/10.1119/1.10679 View Table of Contents: http://scitation.aip.org/content/aapt/journal/ajp/45/12?ver=pdfcov Published by the American Association of Physics Teachers Articles you may be interested in Unifying the inertia and Riemann curvature tensors through geometric algebra Am. J. Phys. 80, 905 (2012); 10.1119/1.4734014 The Riemann tensor, the metric tensor, and curvature collineations in general relativity J. Math. Phys. 23, 436 (1982); 10.1063/1.525366 New identities on the Riemann tensor J. Math. Phys. 17, 198 (1976); 10.1063/1.522878 Equations of the de Broglie Wave Field and Their Relationship to Riemann's Curvature Tensor J. Math. Phys. 11, 3199 (1970); 10.1063/1.1665115 Curvature Collineations: A Fundamental Symmetry Property of the SpaceTimes of General Relativity Defined by the Vanishing Lie Derivative of the Riemann Curvature Tensor J. Math. Phys. 10, 617 (1969); 10.1063/1.1664886 This article is copyrighted as indicated in the article. Reuse of AAPT content is subject to the terms at: http://scitation.aip.org/termsconditions. Downloaded to IP: 130.216.129.208 On: Sat, 06 Dec 2014 18:30:26

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Page 1: Riemann curvature tensor and closed geodesic paths

Riemann curvature tensor and closed geodesic pathsRalph E. Morganstern Citation: American Journal of Physics 45, 1173 (1977); doi: 10.1119/1.10679 View online: http://dx.doi.org/10.1119/1.10679 View Table of Contents: http://scitation.aip.org/content/aapt/journal/ajp/45/12?ver=pdfcov Published by the American Association of Physics Teachers Articles you may be interested in Unifying the inertia and Riemann curvature tensors through geometric algebra Am. J. Phys. 80, 905 (2012); 10.1119/1.4734014 The Riemann tensor, the metric tensor, and curvature collineations in general relativity J. Math. Phys. 23, 436 (1982); 10.1063/1.525366 New identities on the Riemann tensor J. Math. Phys. 17, 198 (1976); 10.1063/1.522878 Equations of the de Broglie Wave Field and Their Relationship to Riemann's Curvature Tensor J. Math. Phys. 11, 3199 (1970); 10.1063/1.1665115 Curvature Collineations: A Fundamental Symmetry Property of the SpaceTimes of General RelativityDefined by the Vanishing Lie Derivative of the Riemann Curvature Tensor J. Math. Phys. 10, 617 (1969); 10.1063/1.1664886

This article is copyrighted as indicated in the article. Reuse of AAPT content is subject to the terms at: http://scitation.aip.org/termsconditions. Downloaded to IP:

130.216.129.208 On: Sat, 06 Dec 2014 18:30:26

Page 2: Riemann curvature tensor and closed geodesic paths

This article is copyrighted as indicated in the article. Reuse of AAPT content is subject to the terms at: http://scitation.aip.org/termsconditions. Downloaded to IP:

130.216.129.208 On: Sat, 06 Dec 2014 18:30:26

Page 3: Riemann curvature tensor and closed geodesic paths

This article is copyrighted as indicated in the article. Reuse of AAPT content is subject to the terms at: http://scitation.aip.org/termsconditions. Downloaded to IP:

130.216.129.208 On: Sat, 06 Dec 2014 18:30:26

Page 4: Riemann curvature tensor and closed geodesic paths

This article is copyrighted as indicated in the article. Reuse of AAPT content is subject to the terms at: http://scitation.aip.org/termsconditions. Downloaded to IP:

130.216.129.208 On: Sat, 06 Dec 2014 18:30:26