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We present calculations of the g factors for the lower conductance steps of3D hole quantum wires. Our results prove that the anisotropy with magneticfield orientation, relative to the wire, originates in the Rashba spin-orbitcoupling. We also analyze the relevance of the deformation, as the wire evolvesfrom 3D towards a flat 2D geometry. For high enough wire deformations, theperpendicular g factors are greatly quenched by the Rashba interaction. On thecontrary, parallel g factors are rather insensistive to the Rashba interaction,resulting in a high g factor anisotropy. For low deformations we find a moreirregular behavior which hints at a sample dependent scenario.

g-Factor anisotropy of hole quantum wires induced by the Rashba interaction