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The curvature of a higher spin potential as constructed in a previous articleof the same authors arXiv:0705.3528 is applied to the analysis of thelinearized trace anomaly obtained from the quadratic part of the effectiveaction for a conformally coupled scalar with linearized interaction with theexternal higher spin fields arXiv:hep-th/0602067. The spin is restricted tofour to profit from technical simplifications but without reducing the problemin principle. The issue includes the calculation of all Ricci tensors asmultiple traces of the curvature, the derivation of all primary and secondaryBianchi identities, expressing all Ricci tensors as differential operatorsapplied to the Fronsdal term, calculating the Weyl variation of these, andshowing finally that Weyl variations of integrals over contracted squares ofRicci tensors can be used to eliminate the anomaly completely. This peculiarityis discussed in detail. As tools we use the formalism of bisymmetric tensorfields whose space is equipped with a local bilinear invariant form, the*-form.

Generalized Curvature and Ricci Tensors for a Higher Spin Potential and the Trace Anomaly in External Higher Spin Fields in AdS_{4} Space