Flexible support structure for a geared architecture gas turbine engine

A gas turbine engine, comprising:

• propulsor means for providing propulsion;
• a propulsor shaft driving the propulsor means;
• a propulsor shaft support that supports said propulsor shaft, said propulsor shaft support defining a propulsor shaft support transverse stiffness;
• a reduction means for reducing a rotational speed of an output that drives the propulsor means relative to an input, said reduction means includes a gear mesh means defining a gear mesh lateral stiffness;
• and
• a flexible support means for supporting said reduction means relative to a static structure, the flexible support means defining a flexible support transverse stiffness and a flexible support lateral stiffness, wherein said flexible support transverse stiffness is less than 11% of said propulsor shaft support transverse stiffness, and said flexible support lateral stiffness is less than 8% of said gear mesh lateral stiffness.