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The effect of curvature on the results of fractal analyses of the galaxydistribution is investigated. We show that, if the universe satisfies thecriteria of a wide class of parabolic homogeneous models, the observersmeasuring the fractal index with the integrated conditional density proceduremay use the Hubble formula, without having to allow for curvature, out todistances of 600 Mpc, and possibly far beyond. This contradicts a previousclaim by Ribeiro (1995) that, in the Einstein-de Sitter case, relativisticcorrections should be taken into account at much smaller scales. We state forthe class of cosmological models under study, and give grounds for conjecturefor others, that the averaging procedure has a smoothing effect and that,therefore, the redshift-distance relation provides an upper limit to therelativistic corrections involved in such analyses.Comment: 9 LaTeX pages, accepted for publication in Astronomy and Astrophysics  14 November 200

Relativistic corrections to fractal analyses of the galaxy distribution