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We perform a generalized dimensional reduction of six dimensionalsupergravity theories to five dimensions. We consider the minimal $(2,0)$ andthe maximal $(4,4)$ theories. In each case the reduction allows us to obtaingauged supergravities of no-scale type in dimension five with gauge groups thatescape previous classifications. In the minimal case, the geometric data of thereduced theory correspond to particular cases of the D=5 real special geometry.In the maximal case we find a four parameter solution which allows partialbreaking of supersymmetry.Comment: AMS-LaTeX 16 pages. A reference added, some minor changes performe

No-scaleD=5 supergravity from Scherk-Schwarz reduction ofD=6 theories