The 1856 Lemma of Cayley Revisited

2004/07/12 by Jin Yue, Yue, Jin
Engineering · Mathematics · Physics and Astronomy · #13A50 #53B21 #58J70 #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Differential Geometry (math.DG) #Elasticity and Material Modeling #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #math-ph #math.DG #math.MP #msc:13A50 #msc:53B21 #msc:58J70

paper · pdf · doi:10.48550/arxiv.math/0407202

41 pages

openalex publication_date 2004/07/12 · arxiv created 2004/07/20 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The result of the classical invariant theory (CIT) commonly referred to as Lemma of Cayley is reviewed and its analogue in the invariant theory of Killing tensors (ITKT) defined in pseudo-Riemannian spaces of constant curvature is formulated and proven. Illustrative examples are provided.

Citations

• Killing tensors in spaces of constant curvature

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