Previous evolutionary computations concerning stars with masses in the range of the ''Red Giants Transition Phase'' are extended to lower metallicities. Clusters isochrones for two values of the metallicity Z (Z = 10(-4), 4 . 10(-4)) and for ages down to 1 billion years are presented, discussing selected evolutionary features characterizing the structure of the stars during both H or He burning phases. One finds that clusters with Z similar or equal to 10(-4) and with an age around 1-2 billion years could be characterized by the occurrence of anomalous He burning variables at a luminosity of the order of LogL = 2.0 - 2.2L..
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