Generalized Wess-Zumino Consistency Conditions for Pure W_3 Gravity Anomalies

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General expressions for the anomalies appearing in pure W_3 gravity are found by requiring that they satisfy a modified version of the Wess-Zumino consistency conditions in which the Ward identities are treated as nonvanishing quantities.
LaTeX file, 11 pages, to appear in Proceedings, W-Algebras: Extended Conformal Symmetries, Centre de Physique Theorique, Marseille, France, 3-7 July 1995, R. Grimm, V. Ovsienko (eds.)

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