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Being expected as a Banach space substitute of the orthogonal projections on Hilbert spaces,generalized n-circular projections also extend the notion of generalized bicontractive projections on JB*-triples.In this paper,we study some geometric properties of JB*-triples related to them.In particular,we provide some structure theorems of generalized n-circular projections on an often mentioned special case of JB*-triples,i.e.,Hilbert C*-modules over abelian C*-algebras C0(Ω).