An inter shaft bearing assembly 1, wherein said inner face of said first shaft defines a first conical surface diverging in the downstream direction at an angle of about 40 degrees relative to the axis of said turbo engine, {HEAD ~ a second conical surface} of {TAIL ~ low conicity} following downstream from said first conical surface, two successive cylindrical surfaces following downstream from said second conical surface, and a radial face between said cylindrical surfaces, 
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An inter shaft bearing assembly 1 , wherein said inner face of said first shaft defines a first conical surface diverging in the downstream direction at an angle of about 40 degrees relative to the axis of said turbo engine , { HEAD ~ a second conical surface } of { TAIL ~ low conicity } following downstream from said first conical surface , two successive cylindrical surfaces following downstream from said second conical surface , and a radial face between said cylindrical surfaces ,
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