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In questa Nota, si considerano le proprietà topologiche di varietà Einstein-Lorentziane quadridimensionali che ammettono una metrica definita dallo spazio-tempo della relatività generale. In modo particolare, si trattano le relazioni che esistono tra le caratteristiche Euler-Poincaré ed i numeri di Pontrjagin, quando le equazioni di Einstein sono assunte valide (a) per un campo gravitazionale "in vacuo" e (b) per altri campi fisici in presenza di materia od elettricità.
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