Curvature-orbits and locally homogeneous riemannian manifolds |
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| Authors: | Federico G Lastaria Franco Tricerri |
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| Institution: | (1) Dipartimento di Matematica, II Università di Roma, Via della Ricerca Scientifica, 00133 Roma, Italy;(2) Dipartimento di Matematica «U. Dini», Università di Firenze, Viale Morgagni 67/A, 50134 Firenze, Italy |
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| Abstract: | We prove that it is possible to associate to each infinitesimal model on a Euclidean vector space V a locally homogeneous Riemannian manifold. As an application, we characterize, in the space of the algebraic curvature tensors on V, the orbits which can occur for locally homogeneous Riemannian manifolds. |
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