In 568, only fifteen years after the restoration, the Lombards descended upon Italy from the Middle Danube, following the track of Theodoric and inspirited by the fame of his success. A few years made them masters of the North Italian plain still known as Lombardy. Within three-quarters of a century they had demonstrated the hollowness of the Byzantine power. The power of their kings, whose capital was Pavia, extended on the one side into Liguria and Tuscany, on the other into Emilia and Friuli; far away in the south, behind the line of fortresses which linked Rome with Ravenna, the semi-independent dukes of Spoleto and Benevento were masters of the land on both sides of the Apennines, excepting Naples and the toe of the Bruttian peninsula. Apart from these districts there remained in the imperial allegiance only the fisher-folk of the Venetian lagoons and the lands which afterwards were to be known as the Papal States. What the Byzantines achieved by the maintenance of this precarious foothold was nothing less than the political disruption of Italy. The Lombard duchies of the south were kept separate from the parent state; with the result that their ruins were built long afterwards into the fabric of a South Italian monarchy which was irreconcilably hostile to the political heirs of the Lombard kings. In many respects the Lombards showed capacity for governing a subject population. They adopted the Latin language; they forsook Arianism for Catholicism; they accommodated themselves to city life; they were liberal patrons of Italian art and industry. Although they introduced a strictly Teutonic form of administration, their rule compared not unfavourably with the makeshift methods of Byzantine statesmanship. In Imperial Italy we see the strange spectacle of a military despotism tempered by the usurped privileges and jurisdictions of the great proprietors, or by the ill-defined temporal pretensions of the bishops. In Lombard Italy matters were at least no worse. The Lombards were aliens; but so were the Greeks. The Greeks treated the Italians as inferiors. But the Lombards intermarried freely with their subjects, and the Lombard legislators (Rotharis, Luitprand) recognised no invidious privileges of race. (4) Northern Gaul remains to be considered. It was here that the Frankish monarchy developed; and we deal last with the Franks because they were destined to harvest the chief fruits of barbarian conquest and colonisation. By the close of the eighth century Africa, Spain, and Britain were the only western provinces of the Empire in which they had failed to establish themselves as the sole or the dominant power; and moreover they had penetrated by that time farther into Central Europe than any Roman statesman, since Tiberius, had extended his schemes of conquest. The expansion of the Franks was a slow process, interrupted by periods of stagnation or relapse; and we can only trace it in the barest outline.