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We consider alpha'-corrections to Calabi-Yau compactifications of type IIstring theory. These were discussed from the string worldsheet approach manyyears ago in terms of supersymmetric non-linear sigma-models by Nemeschanskyand Sen as well as Gross and Witten. There it was shown that oncealpha'-corrections are included, the internal manifold solving the stringequations of motion is still Calabi-Yau though not Ricci flat. In this briefnote we review these results and compare with a space-time effective fieldtheory approach, in which we show that SU(3)-holonomy manifolds becomeSU(3)-structure manifolds once such corrections are included.

The alpha'-Expansion of Calabi-Yau Compactifications